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Finding the Fourth Proportional to 646.53, 968.93 and 472.38

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Solution

The fourth proportional to 646.53, 968.93 and 472.38 is: 707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.53 : 968.93 = 472.38 : x
  2. Step 2: Convert to fraction form
    646.53/968.93 = 472.38/x
  3. Step 3: Cross multiply
    646.53x = 968.93 × 472.38
  4. Step 4: Simplify right side
    646.53x = 457,700.79
  5. Step 5: Solve for x
    x = 457,700.79/646.53
  6. Step 6: Final answer
    x = 707.93

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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.