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Finding the Fourth Proportional to 691.83, 954.99 and 470.88

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Solution

The fourth proportional to 691.83, 954.99 and 470.88 is: 649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.83 : 954.99 = 470.88 : x
  2. Step 2: Convert to fraction form
    691.83/954.99 = 470.88/x
  3. Step 3: Cross multiply
    691.83x = 954.99 × 470.88
  4. Step 4: Simplify right side
    691.83x = 449,685.69
  5. Step 5: Solve for x
    x = 449,685.69/691.83
  6. Step 6: Final answer
    x = 649.99

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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.