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Finding the Fourth Proportional to 1,434.49, 1,979.13 and 874.76

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Solution

The fourth proportional to 1,434.49, 1,979.13 and 874.76 is: 1,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.49 : 1,979.13 = 874.76 : x
  2. Step 2: Convert to fraction form
    1,434.49/1,979.13 = 874.76/x
  3. Step 3: Cross multiply
    1,434.49x = 1,979.13 × 874.76
  4. Step 4: Simplify right side
    1,434.49x = 1,731,258.00
  5. Step 5: Solve for x
    x = 1,731,258.00/1,434.49
  6. Step 6: Final answer
    x = 1,206.88

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.