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Finding the Fourth Proportional to 922.39, 1,382.10 and 459.47

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Solution

The fourth proportional to 922.39, 1,382.10 and 459.47 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.39 : 1,382.10 = 459.47 : x
  2. Step 2: Convert to fraction form
    922.39/1,382.10 = 459.47/x
  3. Step 3: Cross multiply
    922.39x = 1,382.10 × 459.47
  4. Step 4: Simplify right side
    922.39x = 635,035.22
  5. Step 5: Solve for x
    x = 635,035.22/922.39
  6. Step 6: Final answer
    x = 688.47

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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.