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Finding the Fourth Proportional to 1,142, 1,575.96 and 618.04

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Solution

The fourth proportional to 1,142, 1,575.96 and 618.04 is: 852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142 : 1,575.96 = 618.04 : x
  2. Step 2: Convert to fraction form
    1,142/1,575.96 = 618.04/x
  3. Step 3: Cross multiply
    1,142x = 1,575.96 × 618.04
  4. Step 4: Simplify right side
    1,142x = 973,998.44
  5. Step 5: Solve for x
    x = 973,998.44/1,142
  6. Step 6: Final answer
    x = 852.89

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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.