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Finding the Fourth Proportional to 614.94, 921.16 and 511.90

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Solution

The fourth proportional to 614.94, 921.16 and 511.90 is: 766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.94 : 921.16 = 511.90 : x
  2. Step 2: Convert to fraction form
    614.94/921.16 = 511.90/x
  3. Step 3: Cross multiply
    614.94x = 921.16 × 511.90
  4. Step 4: Simplify right side
    614.94x = 471,541.80
  5. Step 5: Solve for x
    x = 471,541.80/614.94
  6. Step 6: Final answer
    x = 766.81

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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.