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Finding the Fourth Proportional to 642.16, 961.60 and 411.32

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Solution

The fourth proportional to 642.16, 961.60 and 411.32 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.16 : 961.60 = 411.32 : x
  2. Step 2: Convert to fraction form
    642.16/961.60 = 411.32/x
  3. Step 3: Cross multiply
    642.16x = 961.60 × 411.32
  4. Step 4: Simplify right side
    642.16x = 395,525.31
  5. Step 5: Solve for x
    x = 395,525.31/642.16
  6. Step 6: Final answer
    x = 615.93

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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.