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Finding the Fourth Proportional to 922.46, 1,383.75 and 306.14

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Solution

The fourth proportional to 922.46, 1,383.75 and 306.14 is: 459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.46 : 1,383.75 = 306.14 : x
  2. Step 2: Convert to fraction form
    922.46/1,383.75 = 306.14/x
  3. Step 3: Cross multiply
    922.46x = 1,383.75 × 306.14
  4. Step 4: Simplify right side
    922.46x = 423,614.31
  5. Step 5: Solve for x
    x = 423,614.31/922.46
  6. Step 6: Final answer
    x = 459.22

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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.