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Finding the Fourth Proportional to 668.18, 921.98 and 614.42

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Solution

The fourth proportional to 668.18, 921.98 and 614.42 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.18 : 921.98 = 614.42 : x
  2. Step 2: Convert to fraction form
    668.18/921.98 = 614.42/x
  3. Step 3: Cross multiply
    668.18x = 921.98 × 614.42
  4. Step 4: Simplify right side
    668.18x = 566,483.34
  5. Step 5: Solve for x
    x = 566,483.34/668.18
  6. Step 6: Final answer
    x = 847.80

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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.