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Finding the Fourth Proportional to 1,142.59, 1,576.32 and 700.33

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Solution

The fourth proportional to 1,142.59, 1,576.32 and 700.33 is: 966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.59 : 1,576.32 = 700.33 : x
  2. Step 2: Convert to fraction form
    1,142.59/1,576.32 = 700.33/x
  3. Step 3: Cross multiply
    1,142.59x = 1,576.32 × 700.33
  4. Step 4: Simplify right side
    1,142.59x = 1,103,944.19
  5. Step 5: Solve for x
    x = 1,103,944.19/1,142.59
  6. Step 6: Final answer
    x = 966.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.