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Finding the Fourth Proportional to 542.48, 812.76 and 405.20

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Solution

The fourth proportional to 542.48, 812.76 and 405.20 is: 607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.48 : 812.76 = 405.20 : x
  2. Step 2: Convert to fraction form
    542.48/812.76 = 405.20/x
  3. Step 3: Cross multiply
    542.48x = 812.76 × 405.20
  4. Step 4: Simplify right side
    542.48x = 329,330.35
  5. Step 5: Solve for x
    x = 329,330.35/542.48
  6. Step 6: Final answer
    x = 607.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.