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Finding the Fourth Proportional to 650.22, 895.95 and 442.86

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Solution

The fourth proportional to 650.22, 895.95 and 442.86 is: 610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.22 : 895.95 = 442.86 : x
  2. Step 2: Convert to fraction form
    650.22/895.95 = 442.86/x
  3. Step 3: Cross multiply
    650.22x = 895.95 × 442.86
  4. Step 4: Simplify right side
    650.22x = 396,780.42
  5. Step 5: Solve for x
    x = 396,780.42/650.22
  6. Step 6: Final answer
    x = 610.22

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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.