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Finding the Fourth Proportional to 646.61, 892.46 and 425.58

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Solution

The fourth proportional to 646.61, 892.46 and 425.58 is: 587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 892.46 = 425.58 : x
  2. Step 2: Convert to fraction form
    646.61/892.46 = 425.58/x
  3. Step 3: Cross multiply
    646.61x = 892.46 × 425.58
  4. Step 4: Simplify right side
    646.61x = 379,813.13
  5. Step 5: Solve for x
    x = 379,813.13/646.61
  6. Step 6: Final answer
    x = 587.39

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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.