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Finding the Fourth Proportional to 545.57, 812.19 and 542.33

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Solution

The fourth proportional to 545.57, 812.19 and 542.33 is: 807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.57 : 812.19 = 542.33 : x
  2. Step 2: Convert to fraction form
    545.57/812.19 = 542.33/x
  3. Step 3: Cross multiply
    545.57x = 812.19 × 542.33
  4. Step 4: Simplify right side
    545.57x = 440,476.27
  5. Step 5: Solve for x
    x = 440,476.27/545.57
  6. Step 6: Final answer
    x = 807.36

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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.