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Finding the Fourth Proportional to 975.71, 1,463.61 and 542.54

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Solution

The fourth proportional to 975.71, 1,463.61 and 542.54 is: 813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.71 : 1,463.61 = 542.54 : x
  2. Step 2: Convert to fraction form
    975.71/1,463.61 = 542.54/x
  3. Step 3: Cross multiply
    975.71x = 1,463.61 × 542.54
  4. Step 4: Simplify right side
    975.71x = 794,066.97
  5. Step 5: Solve for x
    x = 794,066.97/975.71
  6. Step 6: Final answer
    x = 813.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.