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Finding the Fourth Proportional to 614.68, 844.79 and 597.40

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Solution

The fourth proportional to 614.68, 844.79 and 597.40 is: 821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.68 : 844.79 = 597.40 : x
  2. Step 2: Convert to fraction form
    614.68/844.79 = 597.40/x
  3. Step 3: Cross multiply
    614.68x = 844.79 × 597.40
  4. Step 4: Simplify right side
    614.68x = 504,677.55
  5. Step 5: Solve for x
    x = 504,677.55/614.68
  6. Step 6: Final answer
    x = 821.04

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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.