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Finding the Fourth Proportional to 545.90, 814.37 and 527.42

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Solution

The fourth proportional to 545.90, 814.37 and 527.42 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.90 : 814.37 = 527.42 : x
  2. Step 2: Convert to fraction form
    545.90/814.37 = 527.42/x
  3. Step 3: Cross multiply
    545.90x = 814.37 × 527.42
  4. Step 4: Simplify right side
    545.90x = 429,514.42
  5. Step 5: Solve for x
    x = 429,514.42/545.90
  6. Step 6: Final answer
    x = 786.81

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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.