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Finding the Fourth Proportional to 1,142.10, 1,575.99 and 699.93

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Solution

The fourth proportional to 1,142.10, 1,575.99 and 699.93 is: 965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.10 : 1,575.99 = 699.93 : x
  2. Step 2: Convert to fraction form
    1,142.10/1,575.99 = 699.93/x
  3. Step 3: Cross multiply
    1,142.10x = 1,575.99 × 699.93
  4. Step 4: Simplify right side
    1,142.10x = 1,103,082.68
  5. Step 5: Solve for x
    x = 1,103,082.68/1,142.10
  6. Step 6: Final answer
    x = 965.84

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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.