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Finding the Fourth Proportional to 765.04, 1,147.45 and 326.47

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Solution

The fourth proportional to 765.04, 1,147.45 and 326.47 is: 489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.04 : 1,147.45 = 326.47 : x
  2. Step 2: Convert to fraction form
    765.04/1,147.45 = 326.47/x
  3. Step 3: Cross multiply
    765.04x = 1,147.45 × 326.47
  4. Step 4: Simplify right side
    765.04x = 374,608.00
  5. Step 5: Solve for x
    x = 374,608.00/765.04
  6. Step 6: Final answer
    x = 489.66

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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.