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Finding the Fourth Proportional to 604.92, 905.64 and 542.40

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Solution

The fourth proportional to 604.92, 905.64 and 542.40 is: 812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 905.64 = 542.40 : x
  2. Step 2: Convert to fraction form
    604.92/905.64 = 542.40/x
  3. Step 3: Cross multiply
    604.92x = 905.64 × 542.40
  4. Step 4: Simplify right side
    604.92x = 491,219.14
  5. Step 5: Solve for x
    x = 491,219.14/604.92
  6. Step 6: Final answer
    x = 812.04

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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.