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Finding the Fourth Proportional to 1,170.77, 1,615.98 and 728.41

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Solution

The fourth proportional to 1,170.77, 1,615.98 and 728.41 is: 1,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.77 : 1,615.98 = 728.41 : x
  2. Step 2: Convert to fraction form
    1,170.77/1,615.98 = 728.41/x
  3. Step 3: Cross multiply
    1,170.77x = 1,615.98 × 728.41
  4. Step 4: Simplify right side
    1,170.77x = 1,177,084.27
  5. Step 5: Solve for x
    x = 1,177,084.27/1,170.77
  6. Step 6: Final answer
    x = 1,005.40

Related Problems

Find fourth proportional to 585.38, 807.99 and 364.20
Half scale
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Double scale
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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.