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Finding the Fourth Proportional to 1,213.20, 1,674 and 689.16

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Solution

The fourth proportional to 1,213.20, 1,674 and 689.16 is: 950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.20 : 1,674 = 689.16 : x
  2. Step 2: Convert to fraction form
    1,213.20/1,674 = 689.16/x
  3. Step 3: Cross multiply
    1,213.20x = 1,674 × 689.16
  4. Step 4: Simplify right side
    1,213.20x = 1,153,653.84
  5. Step 5: Solve for x
    x = 1,153,653.84/1,213.20
  6. Step 6: Final answer
    x = 950.92

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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.