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Finding the Fourth Proportional to 614.62, 919.77 and 469.18

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Solution

The fourth proportional to 614.62, 919.77 and 469.18 is: 702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.62 : 919.77 = 469.18 : x
  2. Step 2: Convert to fraction form
    614.62/919.77 = 469.18/x
  3. Step 3: Cross multiply
    614.62x = 919.77 × 469.18
  4. Step 4: Simplify right side
    614.62x = 431,537.69
  5. Step 5: Solve for x
    x = 431,537.69/614.62
  6. Step 6: Final answer
    x = 702.12

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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.