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Finding the Fourth Proportional to 679.01, 1,014.57 and 540.59

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Solution

The fourth proportional to 679.01, 1,014.57 and 540.59 is: 807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.01 : 1,014.57 = 540.59 : x
  2. Step 2: Convert to fraction form
    679.01/1,014.57 = 540.59/x
  3. Step 3: Cross multiply
    679.01x = 1,014.57 × 540.59
  4. Step 4: Simplify right side
    679.01x = 548,461.32
  5. Step 5: Solve for x
    x = 548,461.32/679.01
  6. Step 6: Final answer
    x = 807.74

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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.