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Finding the Fourth Proportional to 485.28, 724.20 and 433.38

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Solution

The fourth proportional to 485.28, 724.20 and 433.38 is: 646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.28 : 724.20 = 433.38 : x
  2. Step 2: Convert to fraction form
    485.28/724.20 = 433.38/x
  3. Step 3: Cross multiply
    485.28x = 724.20 × 433.38
  4. Step 4: Simplify right side
    485.28x = 313,854.89
  5. Step 5: Solve for x
    x = 313,854.89/485.28
  6. Step 6: Final answer
    x = 646.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.