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Finding the Fourth Proportional to 618.72, 932.46 and 582.24

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Solution

The fourth proportional to 618.72, 932.46 and 582.24 is: 877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.72 : 932.46 = 582.24 : x
  2. Step 2: Convert to fraction form
    618.72/932.46 = 582.24/x
  3. Step 3: Cross multiply
    618.72x = 932.46 × 582.24
  4. Step 4: Simplify right side
    618.72x = 542,915.51
  5. Step 5: Solve for x
    x = 542,915.51/618.72
  6. Step 6: Final answer
    x = 877.48

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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.