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Finding the Fourth Proportional to 646.53, 968.07 and 515.92

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Solution

The fourth proportional to 646.53, 968.07 and 515.92 is: 772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.53 : 968.07 = 515.92 : x
  2. Step 2: Convert to fraction form
    646.53/968.07 = 515.92/x
  3. Step 3: Cross multiply
    646.53x = 968.07 × 515.92
  4. Step 4: Simplify right side
    646.53x = 499,446.67
  5. Step 5: Solve for x
    x = 499,446.67/646.53
  6. Step 6: Final answer
    x = 772.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.