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Finding the Fourth Proportional to 614.86, 922.29 and 340.90

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Solution

The fourth proportional to 614.86, 922.29 and 340.90 is: 511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.86 : 922.29 = 340.90 : x
  2. Step 2: Convert to fraction form
    614.86/922.29 = 340.90/x
  3. Step 3: Cross multiply
    614.86x = 922.29 × 340.90
  4. Step 4: Simplify right side
    614.86x = 314,408.66
  5. Step 5: Solve for x
    x = 314,408.66/614.86
  6. Step 6: Final answer
    x = 511.35

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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.