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Finding the Fourth Proportional to 459.84, 634.20 and 404.46

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Solution

The fourth proportional to 459.84, 634.20 and 404.46 is: 557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 634.20 = 404.46 : x
  2. Step 2: Convert to fraction form
    459.84/634.20 = 404.46/x
  3. Step 3: Cross multiply
    459.84x = 634.20 × 404.46
  4. Step 4: Simplify right side
    459.84x = 256,508.53
  5. Step 5: Solve for x
    x = 256,508.53/459.84
  6. Step 6: Final answer
    x = 557.82

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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.