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Finding the Fourth Proportional to 1,129.39, 1,694.07 and 307.66

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Solution

The fourth proportional to 1,129.39, 1,694.07 and 307.66 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.39 : 1,694.07 = 307.66 : x
  2. Step 2: Convert to fraction form
    1,129.39/1,694.07 = 307.66/x
  3. Step 3: Cross multiply
    1,129.39x = 1,694.07 × 307.66
  4. Step 4: Simplify right side
    1,129.39x = 521,196.04
  5. Step 5: Solve for x
    x = 521,196.04/1,129.39
  6. Step 6: Final answer
    x = 461.49

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Double scale
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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.