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Finding the Fourth Proportional to 1,116.85, 1,675.38 and 633.01

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Solution

The fourth proportional to 1,116.85, 1,675.38 and 633.01 is: 949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.85 : 1,675.38 = 633.01 : x
  2. Step 2: Convert to fraction form
    1,116.85/1,675.38 = 633.01/x
  3. Step 3: Cross multiply
    1,116.85x = 1,675.38 × 633.01
  4. Step 4: Simplify right side
    1,116.85x = 1,060,532.29
  5. Step 5: Solve for x
    x = 1,060,532.29/1,116.85
  6. Step 6: Final answer
    x = 949.57

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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.