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Finding the Fourth Proportional to 655.60, 901.79 and 542.81

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Solution

The fourth proportional to 655.60, 901.79 and 542.81 is: 746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.60 : 901.79 = 542.81 : x
  2. Step 2: Convert to fraction form
    655.60/901.79 = 542.81/x
  3. Step 3: Cross multiply
    655.60x = 901.79 × 542.81
  4. Step 4: Simplify right side
    655.60x = 489,500.63
  5. Step 5: Solve for x
    x = 489,500.63/655.60
  6. Step 6: Final answer
    x = 746.65

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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.