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Finding the Fourth Proportional to 813.01, 1,121.88 and 458.82

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Solution

The fourth proportional to 813.01, 1,121.88 and 458.82 is: 633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.01 : 1,121.88 = 458.82 : x
  2. Step 2: Convert to fraction form
    813.01/1,121.88 = 458.82/x
  3. Step 3: Cross multiply
    813.01x = 1,121.88 × 458.82
  4. Step 4: Simplify right side
    813.01x = 514,740.98
  5. Step 5: Solve for x
    x = 514,740.98/813.01
  6. Step 6: Final answer
    x = 633.13

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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.