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Finding the Fourth Proportional to 696.79, 961.21 and 472.74

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Solution

The fourth proportional to 696.79, 961.21 and 472.74 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.79 : 961.21 = 472.74 : x
  2. Step 2: Convert to fraction form
    696.79/961.21 = 472.74/x
  3. Step 3: Cross multiply
    696.79x = 961.21 × 472.74
  4. Step 4: Simplify right side
    696.79x = 454,402.42
  5. Step 5: Solve for x
    x = 454,402.42/696.79
  6. Step 6: Final answer
    x = 652.14

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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.