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Finding the Fourth Proportional to 646.98, 892.44 and 414.24

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Solution

The fourth proportional to 646.98, 892.44 and 414.24 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.98 : 892.44 = 414.24 : x
  2. Step 2: Convert to fraction form
    646.98/892.44 = 414.24/x
  3. Step 3: Cross multiply
    646.98x = 892.44 × 414.24
  4. Step 4: Simplify right side
    646.98x = 369,684.35
  5. Step 5: Solve for x
    x = 369,684.35/646.98
  6. Step 6: Final answer
    x = 571.40

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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.