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Finding the Fourth Proportional to 1,118.82, 1,673.45 and 807.18

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Solution

The fourth proportional to 1,118.82, 1,673.45 and 807.18 is: 1,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.82 : 1,673.45 = 807.18 : x
  2. Step 2: Convert to fraction form
    1,118.82/1,673.45 = 807.18/x
  3. Step 3: Cross multiply
    1,118.82x = 1,673.45 × 807.18
  4. Step 4: Simplify right side
    1,118.82x = 1,350,771.34
  5. Step 5: Solve for x
    x = 1,350,771.34/1,118.82
  6. Step 6: Final answer
    x = 1,207.32

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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.