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Finding the Fourth Proportional to 1,119.18, 1,544.28 and 676.98

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Solution

The fourth proportional to 1,119.18, 1,544.28 and 676.98 is: 934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.18 : 1,544.28 = 676.98 : x
  2. Step 2: Convert to fraction form
    1,119.18/1,544.28 = 676.98/x
  3. Step 3: Cross multiply
    1,119.18x = 1,544.28 × 676.98
  4. Step 4: Simplify right side
    1,119.18x = 1,045,446.67
  5. Step 5: Solve for x
    x = 1,045,446.67/1,119.18
  6. Step 6: Final answer
    x = 934.12

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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.