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Finding the Fourth Proportional to 542.72, 745.28 and 484.40

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Solution

The fourth proportional to 542.72, 745.28 and 484.40 is: 665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 745.28 = 484.40 : x
  2. Step 2: Convert to fraction form
    542.72/745.28 = 484.40/x
  3. Step 3: Cross multiply
    542.72x = 745.28 × 484.40
  4. Step 4: Simplify right side
    542.72x = 361,013.63
  5. Step 5: Solve for x
    x = 361,013.63/542.72
  6. Step 6: Final answer
    x = 665.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.