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Finding the Fourth Proportional to 922.75, 1,384.05 and 306.40

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Solution

The fourth proportional to 922.75, 1,384.05 and 306.40 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.75 : 1,384.05 = 306.40 : x
  2. Step 2: Convert to fraction form
    922.75/1,384.05 = 306.40/x
  3. Step 3: Cross multiply
    922.75x = 1,384.05 × 306.40
  4. Step 4: Simplify right side
    922.75x = 424,072.92
  5. Step 5: Solve for x
    x = 424,072.92/922.75
  6. Step 6: Final answer
    x = 459.58

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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.