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Finding the Fourth Proportional to 712.41, 983.19 and 491.49

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Solution

The fourth proportional to 712.41, 983.19 and 491.49 is: 678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 983.19 = 491.49 : x
  2. Step 2: Convert to fraction form
    712.41/983.19 = 491.49/x
  3. Step 3: Cross multiply
    712.41x = 983.19 × 491.49
  4. Step 4: Simplify right side
    712.41x = 483,228.05
  5. Step 5: Solve for x
    x = 483,228.05/712.41
  6. Step 6: Final answer
    x = 678.30

Related Problems

Find fourth proportional to 356.21, 491.60 and 245.75
Half scale
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Double scale
Find fourth proportional to 713.41, 984.57 and 492.49
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.