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Finding the Fourth Proportional to 1,225.84, 1,691.46 and 753.58

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Solution

The fourth proportional to 1,225.84, 1,691.46 and 753.58 is: 1,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.84 : 1,691.46 = 753.58 : x
  2. Step 2: Convert to fraction form
    1,225.84/1,691.46 = 753.58/x
  3. Step 3: Cross multiply
    1,225.84x = 1,691.46 × 753.58
  4. Step 4: Simplify right side
    1,225.84x = 1,274,650.43
  5. Step 5: Solve for x
    x = 1,274,650.43/1,225.84
  6. Step 6: Final answer
    x = 1,039.82

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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.