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Finding the Fourth Proportional to 646.59, 891.61 and 480.53

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Solution

The fourth proportional to 646.59, 891.61 and 480.53 is: 662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.59 : 891.61 = 480.53 : x
  2. Step 2: Convert to fraction form
    646.59/891.61 = 480.53/x
  3. Step 3: Cross multiply
    646.59x = 891.61 × 480.53
  4. Step 4: Simplify right side
    646.59x = 428,442.95
  5. Step 5: Solve for x
    x = 428,442.95/646.59
  6. Step 6: Final answer
    x = 662.62

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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.