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Finding the Fourth Proportional to 542.45, 812.50 and 480.94

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Solution

The fourth proportional to 542.45, 812.50 and 480.94 is: 720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.45 : 812.50 = 480.94 : x
  2. Step 2: Convert to fraction form
    542.45/812.50 = 480.94/x
  3. Step 3: Cross multiply
    542.45x = 812.50 × 480.94
  4. Step 4: Simplify right side
    542.45x = 390,760.52
  5. Step 5: Solve for x
    x = 390,760.52/542.45
  6. Step 6: Final answer
    x = 720.36

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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.