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Finding the Fourth Proportional to 679.05, 1,017.81 and 313.52

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Solution

The fourth proportional to 679.05, 1,017.81 and 313.52 is: 469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.05 : 1,017.81 = 313.52 : x
  2. Step 2: Convert to fraction form
    679.05/1,017.81 = 313.52/x
  3. Step 3: Cross multiply
    679.05x = 1,017.81 × 313.52
  4. Step 4: Simplify right side
    679.05x = 319,098.70
  5. Step 5: Solve for x
    x = 319,098.70/679.05
  6. Step 6: Final answer
    x = 469.92

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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.