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Finding the Fourth Proportional to 679.76, 1,020.24 and 315.26

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Solution

The fourth proportional to 679.76, 1,020.24 and 315.26 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.76 : 1,020.24 = 315.26 : x
  2. Step 2: Convert to fraction form
    679.76/1,020.24 = 315.26/x
  3. Step 3: Cross multiply
    679.76x = 1,020.24 × 315.26
  4. Step 4: Simplify right side
    679.76x = 321,635.76
  5. Step 5: Solve for x
    x = 321,635.76/679.76
  6. Step 6: Final answer
    x = 473.16

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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.