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Finding the Fourth Proportional to 961.79, 1,435.20 and 852.44

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Solution

The fourth proportional to 961.79, 1,435.20 and 852.44 is: 1,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.79 : 1,435.20 = 852.44 : x
  2. Step 2: Convert to fraction form
    961.79/1,435.20 = 852.44/x
  3. Step 3: Cross multiply
    961.79x = 1,435.20 × 852.44
  4. Step 4: Simplify right side
    961.79x = 1,223,411.52
  5. Step 5: Solve for x
    x = 1,223,411.52/961.79
  6. Step 6: Final answer
    x = 1,272.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.