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Finding the Fourth Proportional to 616.72, 929.44 and 580.24

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Solution

The fourth proportional to 616.72, 929.44 and 580.24 is: 874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.72 : 929.44 = 580.24 : x
  2. Step 2: Convert to fraction form
    616.72/929.44 = 580.24/x
  3. Step 3: Cross multiply
    616.72x = 929.44 × 580.24
  4. Step 4: Simplify right side
    616.72x = 539,298.27
  5. Step 5: Solve for x
    x = 539,298.27/616.72
  6. Step 6: Final answer
    x = 874.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.