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Finding the Fourth Proportional to 1,184.75, 1,635.36 and 719

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Solution

The fourth proportional to 1,184.75, 1,635.36 and 719 is: 992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.75 : 1,635.36 = 719 : x
  2. Step 2: Convert to fraction form
    1,184.75/1,635.36 = 719/x
  3. Step 3: Cross multiply
    1,184.75x = 1,635.36 × 719
  4. Step 4: Simplify right side
    1,184.75x = 1,175,823.84
  5. Step 5: Solve for x
    x = 1,175,823.84/1,184.75
  6. Step 6: Final answer
    x = 992.47

Related Problems

Find fourth proportional to 592.38, 817.68 and 359.50
Half scale
Find fourth proportional to 2,369.50, 3,270.72 and 1,438
Double scale
Find fourth proportional to 1,185.75, 1,636.74 and 720
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.