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Finding the Fourth Proportional to 1,287.83, 1,930.66 and 875.81

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Solution

The fourth proportional to 1,287.83, 1,930.66 and 875.81 is: 1,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.83 : 1,930.66 = 875.81 : x
  2. Step 2: Convert to fraction form
    1,287.83/1,930.66 = 875.81/x
  3. Step 3: Cross multiply
    1,287.83x = 1,930.66 × 875.81
  4. Step 4: Simplify right side
    1,287.83x = 1,690,891.33
  5. Step 5: Solve for x
    x = 1,690,891.33/1,287.83
  6. Step 6: Final answer
    x = 1,312.98

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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.