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Finding the Fourth Proportional to 895.35, 1,342.88 and 478.61

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Solution

The fourth proportional to 895.35, 1,342.88 and 478.61 is: 717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.35 : 1,342.88 = 478.61 : x
  2. Step 2: Convert to fraction form
    895.35/1,342.88 = 478.61/x
  3. Step 3: Cross multiply
    895.35x = 1,342.88 × 478.61
  4. Step 4: Simplify right side
    895.35x = 642,713.52
  5. Step 5: Solve for x
    x = 642,713.52/895.35
  6. Step 6: Final answer
    x = 717.83

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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.