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Finding the Fourth Proportional to 483.58, 724.20 and 437.41

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Solution

The fourth proportional to 483.58, 724.20 and 437.41 is: 655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.58 : 724.20 = 437.41 : x
  2. Step 2: Convert to fraction form
    483.58/724.20 = 437.41/x
  3. Step 3: Cross multiply
    483.58x = 724.20 × 437.41
  4. Step 4: Simplify right side
    483.58x = 316,772.32
  5. Step 5: Solve for x
    x = 316,772.32/483.58
  6. Step 6: Final answer
    x = 655.06

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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.