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Finding the Fourth Proportional to 1,130.11, 1,694.56 and 349.78

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Solution

The fourth proportional to 1,130.11, 1,694.56 and 349.78 is: 524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.11 : 1,694.56 = 349.78 : x
  2. Step 2: Convert to fraction form
    1,130.11/1,694.56 = 349.78/x
  3. Step 3: Cross multiply
    1,130.11x = 1,694.56 × 349.78
  4. Step 4: Simplify right side
    1,130.11x = 592,719.54
  5. Step 5: Solve for x
    x = 592,719.54/1,130.11
  6. Step 6: Final answer
    x = 524.48

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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.