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Finding the Fourth Proportional to 567, 780.03 and 542.70

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Solution

The fourth proportional to 567, 780.03 and 542.70 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 780.03 = 542.70 : x
  2. Step 2: Convert to fraction form
    567/780.03 = 542.70/x
  3. Step 3: Cross multiply
    567x = 780.03 × 542.70
  4. Step 4: Simplify right side
    567x = 423,322.28
  5. Step 5: Solve for x
    x = 423,322.28/567
  6. Step 6: Final answer
    x = 746.60

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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.