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Finding the Fourth Proportional to 564.18, 840.32 and 545.82

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Solution

The fourth proportional to 564.18, 840.32 and 545.82 is: 812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.18 : 840.32 = 545.82 : x
  2. Step 2: Convert to fraction form
    564.18/840.32 = 545.82/x
  3. Step 3: Cross multiply
    564.18x = 840.32 × 545.82
  4. Step 4: Simplify right side
    564.18x = 458,660.73
  5. Step 5: Solve for x
    x = 458,660.73/564.18
  6. Step 6: Final answer
    x = 812.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.