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Finding the Fourth Proportional to 614.23, 846.90 and 509.44

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Solution

The fourth proportional to 614.23, 846.90 and 509.44 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.23 : 846.90 = 509.44 : x
  2. Step 2: Convert to fraction form
    614.23/846.90 = 509.44/x
  3. Step 3: Cross multiply
    614.23x = 846.90 × 509.44
  4. Step 4: Simplify right side
    614.23x = 431,444.74
  5. Step 5: Solve for x
    x = 431,444.74/614.23
  6. Step 6: Final answer
    x = 702.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.