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Finding the Fourth Proportional to 721.04, 994.74 and 458.96

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Solution

The fourth proportional to 721.04, 994.74 and 458.96 is: 633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.04 : 994.74 = 458.96 : x
  2. Step 2: Convert to fraction form
    721.04/994.74 = 458.96/x
  3. Step 3: Cross multiply
    721.04x = 994.74 × 458.96
  4. Step 4: Simplify right side
    721.04x = 456,545.87
  5. Step 5: Solve for x
    x = 456,545.87/721.04
  6. Step 6: Final answer
    x = 633.18

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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.