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Finding the Fourth Proportional to 1,434.58, 1,979.65 and 813.46

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Solution

The fourth proportional to 1,434.58, 1,979.65 and 813.46 is: 1,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.58 : 1,979.65 = 813.46 : x
  2. Step 2: Convert to fraction form
    1,434.58/1,979.65 = 813.46/x
  3. Step 3: Cross multiply
    1,434.58x = 1,979.65 × 813.46
  4. Step 4: Simplify right side
    1,434.58x = 1,610,366.09
  5. Step 5: Solve for x
    x = 1,610,366.09/1,434.58
  6. Step 6: Final answer
    x = 1,122.53

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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.