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Finding the Fourth Proportional to 1,142.82, 1,577.08 and 618.85

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Solution

The fourth proportional to 1,142.82, 1,577.08 and 618.85 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.82 : 1,577.08 = 618.85 : x
  2. Step 2: Convert to fraction form
    1,142.82/1,577.08 = 618.85/x
  3. Step 3: Cross multiply
    1,142.82x = 1,577.08 × 618.85
  4. Step 4: Simplify right side
    1,142.82x = 975,975.96
  5. Step 5: Solve for x
    x = 975,975.96/1,142.82
  6. Step 6: Final answer
    x = 854.01

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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.