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Finding the Fourth Proportional to 616.45, 924.67 and 282.86

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Solution

The fourth proportional to 616.45, 924.67 and 282.86 is: 424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.45 : 924.67 = 282.86 : x
  2. Step 2: Convert to fraction form
    616.45/924.67 = 282.86/x
  3. Step 3: Cross multiply
    616.45x = 924.67 × 282.86
  4. Step 4: Simplify right side
    616.45x = 261,552.15
  5. Step 5: Solve for x
    x = 261,552.15/616.45
  6. Step 6: Final answer
    x = 424.29

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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.