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Finding the Fourth Proportional to 1,118.33, 1,675.96 and 807.71

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Solution

The fourth proportional to 1,118.33, 1,675.96 and 807.71 is: 1,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.33 : 1,675.96 = 807.71 : x
  2. Step 2: Convert to fraction form
    1,118.33/1,675.96 = 807.71/x
  3. Step 3: Cross multiply
    1,118.33x = 1,675.96 × 807.71
  4. Step 4: Simplify right side
    1,118.33x = 1,353,689.65
  5. Step 5: Solve for x
    x = 1,353,689.65/1,118.33
  6. Step 6: Final answer
    x = 1,210.46

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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.