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Finding the Fourth Proportional to 922.76, 1,384.20 and 306.89

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Solution

The fourth proportional to 922.76, 1,384.20 and 306.89 is: 460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.76 : 1,384.20 = 306.89 : x
  2. Step 2: Convert to fraction form
    922.76/1,384.20 = 306.89/x
  3. Step 3: Cross multiply
    922.76x = 1,384.20 × 306.89
  4. Step 4: Simplify right side
    922.76x = 424,794.54
  5. Step 5: Solve for x
    x = 424,794.54/922.76
  6. Step 6: Final answer
    x = 460.35

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1.5x scale

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.