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Finding the Fourth Proportional to 895.08, 1,342.26 and 478.20

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Solution

The fourth proportional to 895.08, 1,342.26 and 478.20 is: 717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.08 : 1,342.26 = 478.20 : x
  2. Step 2: Convert to fraction form
    895.08/1,342.26 = 478.20/x
  3. Step 3: Cross multiply
    895.08x = 1,342.26 × 478.20
  4. Step 4: Simplify right side
    895.08x = 641,868.73
  5. Step 5: Solve for x
    x = 641,868.73/895.08
  6. Step 6: Final answer
    x = 717.11

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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.