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Finding the Fourth Proportional to 679.52, 1,012.08 and 676.20

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Solution

The fourth proportional to 679.52, 1,012.08 and 676.20 is: 1,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.52 : 1,012.08 = 676.20 : x
  2. Step 2: Convert to fraction form
    679.52/1,012.08 = 676.20/x
  3. Step 3: Cross multiply
    679.52x = 1,012.08 × 676.20
  4. Step 4: Simplify right side
    679.52x = 684,368.50
  5. Step 5: Solve for x
    x = 684,368.50/679.52
  6. Step 6: Final answer
    x = 1,007.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.