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Finding the Fourth Proportional to 1,142.89, 1,577.19 and 618.92

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Solution

The fourth proportional to 1,142.89, 1,577.19 and 618.92 is: 854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.89 : 1,577.19 = 618.92 : x
  2. Step 2: Convert to fraction form
    1,142.89/1,577.19 = 618.92/x
  3. Step 3: Cross multiply
    1,142.89x = 1,577.19 × 618.92
  4. Step 4: Simplify right side
    1,142.89x = 976,154.43
  5. Step 5: Solve for x
    x = 976,154.43/1,142.89
  6. Step 6: Final answer
    x = 854.11

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1.5x scale

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.