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Finding the Fourth Proportional to 614.76, 922.28 and 322.12

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Solution

The fourth proportional to 614.76, 922.28 and 322.12 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.76 : 922.28 = 322.12 : x
  2. Step 2: Convert to fraction form
    614.76/922.28 = 322.12/x
  3. Step 3: Cross multiply
    614.76x = 922.28 × 322.12
  4. Step 4: Simplify right side
    614.76x = 297,084.83
  5. Step 5: Solve for x
    x = 297,084.83/614.76
  6. Step 6: Final answer
    x = 483.25

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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.