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Finding the Fourth Proportional to 679.48, 1,014.72 and 549.64

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Solution

The fourth proportional to 679.48, 1,014.72 and 549.64 is: 820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.48 : 1,014.72 = 549.64 : x
  2. Step 2: Convert to fraction form
    679.48/1,014.72 = 549.64/x
  3. Step 3: Cross multiply
    679.48x = 1,014.72 × 549.64
  4. Step 4: Simplify right side
    679.48x = 557,730.70
  5. Step 5: Solve for x
    x = 557,730.70/679.48
  6. Step 6: Final answer
    x = 820.82

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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.