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Finding the Fourth Proportional to 820.47, 1,132.72 and 540.61

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Solution

The fourth proportional to 820.47, 1,132.72 and 540.61 is: 746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.47 : 1,132.72 = 540.61 : x
  2. Step 2: Convert to fraction form
    820.47/1,132.72 = 540.61/x
  3. Step 3: Cross multiply
    820.47x = 1,132.72 × 540.61
  4. Step 4: Simplify right side
    820.47x = 612,355.45
  5. Step 5: Solve for x
    x = 612,355.45/820.47
  6. Step 6: Final answer
    x = 746.34

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1.5x scale

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.