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Finding the Fourth Proportional to 642.55, 961.80 and 460.30

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Solution

The fourth proportional to 642.55, 961.80 and 460.30 is: 689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.55 : 961.80 = 460.30 : x
  2. Step 2: Convert to fraction form
    642.55/961.80 = 460.30/x
  3. Step 3: Cross multiply
    642.55x = 961.80 × 460.30
  4. Step 4: Simplify right side
    642.55x = 442,716.54
  5. Step 5: Solve for x
    x = 442,716.54/642.55
  6. Step 6: Final answer
    x = 689.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.