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Finding the Fourth Proportional to 459.38, 633.65 and 284.73

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Solution

The fourth proportional to 459.38, 633.65 and 284.73 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.38 : 633.65 = 284.73 : x
  2. Step 2: Convert to fraction form
    459.38/633.65 = 284.73/x
  3. Step 3: Cross multiply
    459.38x = 633.65 × 284.73
  4. Step 4: Simplify right side
    459.38x = 180,417.74
  5. Step 5: Solve for x
    x = 180,417.74/459.38
  6. Step 6: Final answer
    x = 392.75

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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.