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Finding the Fourth Proportional to 542.80, 749.60 and 433.04

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Solution

The fourth proportional to 542.80, 749.60 and 433.04 is: 598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.80 : 749.60 = 433.04 : x
  2. Step 2: Convert to fraction form
    542.80/749.60 = 433.04/x
  3. Step 3: Cross multiply
    542.80x = 749.60 × 433.04
  4. Step 4: Simplify right side
    542.80x = 324,606.78
  5. Step 5: Solve for x
    x = 324,606.78/542.80
  6. Step 6: Final answer
    x = 598.02

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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.