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Finding the Fourth Proportional to 864.74, 1,297.65 and 316.91

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Solution

The fourth proportional to 864.74, 1,297.65 and 316.91 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.74 : 1,297.65 = 316.91 : x
  2. Step 2: Convert to fraction form
    864.74/1,297.65 = 316.91/x
  3. Step 3: Cross multiply
    864.74x = 1,297.65 × 316.91
  4. Step 4: Simplify right side
    864.74x = 411,238.26
  5. Step 5: Solve for x
    x = 411,238.26/864.74
  6. Step 6: Final answer
    x = 475.56

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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.