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Finding the Fourth Proportional to 712.59, 982.47 and 491.16

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Solution

The fourth proportional to 712.59, 982.47 and 491.16 is: 677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.59 : 982.47 = 491.16 : x
  2. Step 2: Convert to fraction form
    712.59/982.47 = 491.16/x
  3. Step 3: Cross multiply
    712.59x = 982.47 × 491.16
  4. Step 4: Simplify right side
    712.59x = 482,549.97
  5. Step 5: Solve for x
    x = 482,549.97/712.59
  6. Step 6: Final answer
    x = 677.18

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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.