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Finding the Fourth Proportional to 577.51, 861.70 and 542.50

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Solution

The fourth proportional to 577.51, 861.70 and 542.50 is: 809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.51 : 861.70 = 542.50 : x
  2. Step 2: Convert to fraction form
    577.51/861.70 = 542.50/x
  3. Step 3: Cross multiply
    577.51x = 861.70 × 542.50
  4. Step 4: Simplify right side
    577.51x = 467,469.54
  5. Step 5: Solve for x
    x = 467,469.54/577.51
  6. Step 6: Final answer
    x = 809.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.