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Finding the Fourth Proportional to 675.48, 930.96 and 542.28

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Solution

The fourth proportional to 675.48, 930.96 and 542.28 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 930.96 = 542.28 : x
  2. Step 2: Convert to fraction form
    675.48/930.96 = 542.28/x
  3. Step 3: Cross multiply
    675.48x = 930.96 × 542.28
  4. Step 4: Simplify right side
    675.48x = 504,840.99
  5. Step 5: Solve for x
    x = 504,840.99/675.48
  6. Step 6: Final answer
    x = 747.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.