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Finding the Fourth Proportional to 614.56, 844.52 and 510.88

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Solution

The fourth proportional to 614.56, 844.52 and 510.88 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.56 : 844.52 = 510.88 : x
  2. Step 2: Convert to fraction form
    614.56/844.52 = 510.88/x
  3. Step 3: Cross multiply
    614.56x = 844.52 × 510.88
  4. Step 4: Simplify right side
    614.56x = 431,448.38
  5. Step 5: Solve for x
    x = 431,448.38/614.56
  6. Step 6: Final answer
    x = 702.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.