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Finding the Fourth Proportional to 691.28, 953.12 and 559.92

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Solution

The fourth proportional to 691.28, 953.12 and 559.92 is: 772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.28 : 953.12 = 559.92 : x
  2. Step 2: Convert to fraction form
    691.28/953.12 = 559.92/x
  3. Step 3: Cross multiply
    691.28x = 953.12 × 559.92
  4. Step 4: Simplify right side
    691.28x = 533,670.95
  5. Step 5: Solve for x
    x = 533,670.95/691.28
  6. Step 6: Final answer
    x = 772.00

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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.