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Finding the Fourth Proportional to 614.89, 919.94 and 391.77

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Solution

The fourth proportional to 614.89, 919.94 and 391.77 is: 586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.89 : 919.94 = 391.77 : x
  2. Step 2: Convert to fraction form
    614.89/919.94 = 391.77/x
  3. Step 3: Cross multiply
    614.89x = 919.94 × 391.77
  4. Step 4: Simplify right side
    614.89x = 360,398.34
  5. Step 5: Solve for x
    x = 360,398.34/614.89
  6. Step 6: Final answer
    x = 586.12

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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.