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Finding the Fourth Proportional to 1,112.34, 1,666.68 and 650.49

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Solution

The fourth proportional to 1,112.34, 1,666.68 and 650.49 is: 974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.34 : 1,666.68 = 650.49 : x
  2. Step 2: Convert to fraction form
    1,112.34/1,666.68 = 650.49/x
  3. Step 3: Cross multiply
    1,112.34x = 1,666.68 × 650.49
  4. Step 4: Simplify right side
    1,112.34x = 1,084,158.67
  5. Step 5: Solve for x
    x = 1,084,158.67/1,112.34
  6. Step 6: Final answer
    x = 974.66

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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.