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Finding the Fourth Proportional to 1,112.32, 1,534.96 and 719.57

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Solution

The fourth proportional to 1,112.32, 1,534.96 and 719.57 is: 992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.32 : 1,534.96 = 719.57 : x
  2. Step 2: Convert to fraction form
    1,112.32/1,534.96 = 719.57/x
  3. Step 3: Cross multiply
    1,112.32x = 1,534.96 × 719.57
  4. Step 4: Simplify right side
    1,112.32x = 1,104,511.17
  5. Step 5: Solve for x
    x = 1,104,511.17/1,112.32
  6. Step 6: Final answer
    x = 992.98

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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.