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Finding the Fourth Proportional to 895.92, 1,344 and 318.80

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Solution

The fourth proportional to 895.92, 1,344 and 318.80 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.92 : 1,344 = 318.80 : x
  2. Step 2: Convert to fraction form
    895.92/1,344 = 318.80/x
  3. Step 3: Cross multiply
    895.92x = 1,344 × 318.80
  4. Step 4: Simplify right side
    895.92x = 428,467.20
  5. Step 5: Solve for x
    x = 428,467.20/895.92
  6. Step 6: Final answer
    x = 478.24

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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.