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Finding the Fourth Proportional to 545.78, 812.84 and 542.69

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Solution

The fourth proportional to 545.78, 812.84 and 542.69 is: 808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.78 : 812.84 = 542.69 : x
  2. Step 2: Convert to fraction form
    545.78/812.84 = 542.69/x
  3. Step 3: Cross multiply
    545.78x = 812.84 × 542.69
  4. Step 4: Simplify right side
    545.78x = 441,120.14
  5. Step 5: Solve for x
    x = 441,120.14/545.78
  6. Step 6: Final answer
    x = 808.24

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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.