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Finding the Fourth Proportional to 576.07, 789.01 and 542.40

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Solution

The fourth proportional to 576.07, 789.01 and 542.40 is: 742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.07 : 789.01 = 542.40 : x
  2. Step 2: Convert to fraction form
    576.07/789.01 = 542.40/x
  3. Step 3: Cross multiply
    576.07x = 789.01 × 542.40
  4. Step 4: Simplify right side
    576.07x = 427,954.71
  5. Step 5: Solve for x
    x = 427,954.71/576.07
  6. Step 6: Final answer
    x = 742.89

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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.