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Finding the Fourth Proportional to 1,225.21, 1,691.27 and 852.40

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Solution

The fourth proportional to 1,225.21, 1,691.27 and 852.40 is: 1,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.21 : 1,691.27 = 852.40 : x
  2. Step 2: Convert to fraction form
    1,225.21/1,691.27 = 852.40/x
  3. Step 3: Cross multiply
    1,225.21x = 1,691.27 × 852.40
  4. Step 4: Simplify right side
    1,225.21x = 1,441,634.29
  5. Step 5: Solve for x
    x = 1,441,634.29/1,225.21
  6. Step 6: Final answer
    x = 1,176.65

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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.