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Finding the Fourth Proportional to 616.14, 922.50 and 399.06

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Solution

The fourth proportional to 616.14, 922.50 and 399.06 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.14 : 922.50 = 399.06 : x
  2. Step 2: Convert to fraction form
    616.14/922.50 = 399.06/x
  3. Step 3: Cross multiply
    616.14x = 922.50 × 399.06
  4. Step 4: Simplify right side
    616.14x = 368,132.85
  5. Step 5: Solve for x
    x = 368,132.85/616.14
  6. Step 6: Final answer
    x = 597.48

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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.