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Finding the Fourth Proportional to 459.92, 633.12 and 404.40

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Solution

The fourth proportional to 459.92, 633.12 and 404.40 is: 556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 633.12 = 404.40 : x
  2. Step 2: Convert to fraction form
    459.92/633.12 = 404.40/x
  3. Step 3: Cross multiply
    459.92x = 633.12 × 404.40
  4. Step 4: Simplify right side
    459.92x = 256,033.73
  5. Step 5: Solve for x
    x = 256,033.73/459.92
  6. Step 6: Final answer
    x = 556.69

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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.