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Finding the Fourth Proportional to 485.04, 724.20 and 438.60

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Solution

The fourth proportional to 485.04, 724.20 and 438.60 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.04 : 724.20 = 438.60 : x
  2. Step 2: Convert to fraction form
    485.04/724.20 = 438.60/x
  3. Step 3: Cross multiply
    485.04x = 724.20 × 438.60
  4. Step 4: Simplify right side
    485.04x = 317,634.12
  5. Step 5: Solve for x
    x = 317,634.12/485.04
  6. Step 6: Final answer
    x = 654.86

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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.