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Finding the Fourth Proportional to 1,110.85, 1,666.98 and 649.55

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Solution

The fourth proportional to 1,110.85, 1,666.98 and 649.55 is: 974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.85 : 1,666.98 = 649.55 : x
  2. Step 2: Convert to fraction form
    1,110.85/1,666.98 = 649.55/x
  3. Step 3: Cross multiply
    1,110.85x = 1,666.98 × 649.55
  4. Step 4: Simplify right side
    1,110.85x = 1,082,791.03
  5. Step 5: Solve for x
    x = 1,082,791.03/1,110.85
  6. Step 6: Final answer
    x = 974.74

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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.