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Finding the Fourth Proportional to 691.43, 954.68 and 470.30

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Solution

The fourth proportional to 691.43, 954.68 and 470.30 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.43 : 954.68 = 470.30 : x
  2. Step 2: Convert to fraction form
    691.43/954.68 = 470.30/x
  3. Step 3: Cross multiply
    691.43x = 954.68 × 470.30
  4. Step 4: Simplify right side
    691.43x = 448,978.88
  5. Step 5: Solve for x
    x = 448,978.88/691.43
  6. Step 6: Final answer
    x = 649.35

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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.