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Finding the Fourth Proportional to 542.72, 745.78 and 535.52

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Solution

The fourth proportional to 542.72, 745.78 and 535.52 is: 735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 745.78 = 535.52 : x
  2. Step 2: Convert to fraction form
    542.72/745.78 = 535.52/x
  3. Step 3: Cross multiply
    542.72x = 745.78 × 535.52
  4. Step 4: Simplify right side
    542.72x = 399,380.11
  5. Step 5: Solve for x
    x = 399,380.11/542.72
  6. Step 6: Final answer
    x = 735.89

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1.5x scale

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.