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Finding the Fourth Proportional to 654.71, 901.94 and 542.21

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Solution

The fourth proportional to 654.71, 901.94 and 542.21 is: 746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.71 : 901.94 = 542.21 : x
  2. Step 2: Convert to fraction form
    654.71/901.94 = 542.21/x
  3. Step 3: Cross multiply
    654.71x = 901.94 × 542.21
  4. Step 4: Simplify right side
    654.71x = 489,033.67
  5. Step 5: Solve for x
    x = 489,033.67/654.71
  6. Step 6: Final answer
    x = 746.95

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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.