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Finding the Fourth Proportional to 922.88, 1,384.38 and 306.57

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Solution

The fourth proportional to 922.88, 1,384.38 and 306.57 is: 459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.88 : 1,384.38 = 306.57 : x
  2. Step 2: Convert to fraction form
    922.88/1,384.38 = 306.57/x
  3. Step 3: Cross multiply
    922.88x = 1,384.38 × 306.57
  4. Step 4: Simplify right side
    922.88x = 424,409.38
  5. Step 5: Solve for x
    x = 424,409.38/922.88
  6. Step 6: Final answer
    x = 459.88

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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.