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Finding the Fourth Proportional to 765.50, 1,054.07 and 654.73

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Solution

The fourth proportional to 765.50, 1,054.07 and 654.73 is: 901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,054.07 = 654.73 : x
  2. Step 2: Convert to fraction form
    765.50/1,054.07 = 654.73/x
  3. Step 3: Cross multiply
    765.50x = 1,054.07 × 654.73
  4. Step 4: Simplify right side
    765.50x = 690,131.25
  5. Step 5: Solve for x
    x = 690,131.25/765.50
  6. Step 6: Final answer
    x = 901.54

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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.