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Finding the Fourth Proportional to 616.36, 925.08 and 520.24

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Solution

The fourth proportional to 616.36, 925.08 and 520.24 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 925.08 = 520.24 : x
  2. Step 2: Convert to fraction form
    616.36/925.08 = 520.24/x
  3. Step 3: Cross multiply
    616.36x = 925.08 × 520.24
  4. Step 4: Simplify right side
    616.36x = 481,263.62
  5. Step 5: Solve for x
    x = 481,263.62/616.36
  6. Step 6: Final answer
    x = 780.82

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