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Finding the Fourth Proportional to 485.46, 724.43 and 433.54

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Solution

The fourth proportional to 485.46, 724.43 and 433.54 is: 646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.46 : 724.43 = 433.54 : x
  2. Step 2: Convert to fraction form
    485.46/724.43 = 433.54/x
  3. Step 3: Cross multiply
    485.46x = 724.43 × 433.54
  4. Step 4: Simplify right side
    485.46x = 314,069.38
  5. Step 5: Solve for x
    x = 314,069.38/485.46
  6. Step 6: Final answer
    x = 646.95

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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.