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Finding the Fourth Proportional to 636.01, 877.08 and 414.88

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Solution

The fourth proportional to 636.01, 877.08 and 414.88 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.01 : 877.08 = 414.88 : x
  2. Step 2: Convert to fraction form
    636.01/877.08 = 414.88/x
  3. Step 3: Cross multiply
    636.01x = 877.08 × 414.88
  4. Step 4: Simplify right side
    636.01x = 363,880.76
  5. Step 5: Solve for x
    x = 363,880.76/636.01
  6. Step 6: Final answer
    x = 572.13

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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.