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Finding the Fourth Proportional to 458.80, 632.88 and 404.16

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Solution

The fourth proportional to 458.80, 632.88 and 404.16 is: 557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.80 : 632.88 = 404.16 : x
  2. Step 2: Convert to fraction form
    458.80/632.88 = 404.16/x
  3. Step 3: Cross multiply
    458.80x = 632.88 × 404.16
  4. Step 4: Simplify right side
    458.80x = 255,784.78
  5. Step 5: Solve for x
    x = 255,784.78/458.80
  6. Step 6: Final answer
    x = 557.51

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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.