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Finding the Fourth Proportional to 961.04, 1,323.86 and 828.20

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Solution

The fourth proportional to 961.04, 1,323.86 and 828.20 is: 1,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.04 : 1,323.86 = 828.20 : x
  2. Step 2: Convert to fraction form
    961.04/1,323.86 = 828.20/x
  3. Step 3: Cross multiply
    961.04x = 1,323.86 × 828.20
  4. Step 4: Simplify right side
    961.04x = 1,096,420.85
  5. Step 5: Solve for x
    x = 1,096,420.85/961.04
  6. Step 6: Final answer
    x = 1,140.87

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1.5x scale

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.