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Finding the Fourth Proportional to 922.61, 1,383.62 and 306.20

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Solution

The fourth proportional to 922.61, 1,383.62 and 306.20 is: 459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.61 : 1,383.62 = 306.20 : x
  2. Step 2: Convert to fraction form
    922.61/1,383.62 = 306.20/x
  3. Step 3: Cross multiply
    922.61x = 1,383.62 × 306.20
  4. Step 4: Simplify right side
    922.61x = 423,655.99
  5. Step 5: Solve for x
    x = 423,655.99/922.61
  6. Step 6: Final answer
    x = 459.20

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Double scale
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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.