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Finding the Fourth Proportional to 865.72, 1,298.58 and 317.66

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Solution

The fourth proportional to 865.72, 1,298.58 and 317.66 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,298.58 = 317.66 : x
  2. Step 2: Convert to fraction form
    865.72/1,298.58 = 317.66/x
  3. Step 3: Cross multiply
    865.72x = 1,298.58 × 317.66
  4. Step 4: Simplify right side
    865.72x = 412,505.33
  5. Step 5: Solve for x
    x = 412,505.33/865.72
  6. Step 6: Final answer
    x = 476.49

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Double scale
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Similar ratio
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1.5x scale

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.