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Finding the Fourth Proportional to 925.29, 1,387.23 and 559.98

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Solution

The fourth proportional to 925.29, 1,387.23 and 559.98 is: 839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.29 : 1,387.23 = 559.98 : x
  2. Step 2: Convert to fraction form
    925.29/1,387.23 = 559.98/x
  3. Step 3: Cross multiply
    925.29x = 1,387.23 × 559.98
  4. Step 4: Simplify right side
    925.29x = 776,821.06
  5. Step 5: Solve for x
    x = 776,821.06/925.29
  6. Step 6: Final answer
    x = 839.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.