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Finding the Fourth Proportional to 813.76, 1,122.72 and 459.63

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Solution

The fourth proportional to 813.76, 1,122.72 and 459.63 is: 634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.76 : 1,122.72 = 459.63 : x
  2. Step 2: Convert to fraction form
    813.76/1,122.72 = 459.63/x
  3. Step 3: Cross multiply
    813.76x = 1,122.72 × 459.63
  4. Step 4: Simplify right side
    813.76x = 516,034.07
  5. Step 5: Solve for x
    x = 516,034.07/813.76
  6. Step 6: Final answer
    x = 634.14

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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.