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Finding the Fourth Proportional to 895.08, 1,342.47 and 317.97

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Solution

The fourth proportional to 895.08, 1,342.47 and 317.97 is: 476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.08 : 1,342.47 = 317.97 : x
  2. Step 2: Convert to fraction form
    895.08/1,342.47 = 317.97/x
  3. Step 3: Cross multiply
    895.08x = 1,342.47 × 317.97
  4. Step 4: Simplify right side
    895.08x = 426,865.19
  5. Step 5: Solve for x
    x = 426,865.19/895.08
  6. Step 6: Final answer
    x = 476.90

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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.