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Finding the Fourth Proportional to 679.91, 1,014.72 and 614.30

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Solution

The fourth proportional to 679.91, 1,014.72 and 614.30 is: 916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.91 : 1,014.72 = 614.30 : x
  2. Step 2: Convert to fraction form
    679.91/1,014.72 = 614.30/x
  3. Step 3: Cross multiply
    679.91x = 1,014.72 × 614.30
  4. Step 4: Simplify right side
    679.91x = 623,334.35
  5. Step 5: Solve for x
    x = 623,334.35/679.91
  6. Step 6: Final answer
    x = 916.80

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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.