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Finding the Fourth Proportional to 1,008.77, 1,392.14 and 560.68

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Solution

The fourth proportional to 1,008.77, 1,392.14 and 560.68 is: 773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.77 : 1,392.14 = 560.68 : x
  2. Step 2: Convert to fraction form
    1,008.77/1,392.14 = 560.68/x
  3. Step 3: Cross multiply
    1,008.77x = 1,392.14 × 560.68
  4. Step 4: Simplify right side
    1,008.77x = 780,545.06
  5. Step 5: Solve for x
    x = 780,545.06/1,008.77
  6. Step 6: Final answer
    x = 773.76

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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.