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Finding the Fourth Proportional to 1,142.31, 1,711.98 and 448.32

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Solution

The fourth proportional to 1,142.31, 1,711.98 and 448.32 is: 671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.31 : 1,711.98 = 448.32 : x
  2. Step 2: Convert to fraction form
    1,142.31/1,711.98 = 448.32/x
  3. Step 3: Cross multiply
    1,142.31x = 1,711.98 × 448.32
  4. Step 4: Simplify right side
    1,142.31x = 767,514.87
  5. Step 5: Solve for x
    x = 767,514.87/1,142.31
  6. Step 6: Final answer
    x = 671.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.