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Finding the Fourth Proportional to 1,116.29, 1,674.22 and 499.88

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Solution

The fourth proportional to 1,116.29, 1,674.22 and 499.88 is: 749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.29 : 1,674.22 = 499.88 : x
  2. Step 2: Convert to fraction form
    1,116.29/1,674.22 = 499.88/x
  3. Step 3: Cross multiply
    1,116.29x = 1,674.22 × 499.88
  4. Step 4: Simplify right side
    1,116.29x = 836,900.72
  5. Step 5: Solve for x
    x = 836,900.72/1,116.29
  6. Step 6: Final answer
    x = 749.72

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Why These Related Problems?

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