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Finding the Fourth Proportional to 984.12, 1,352.02 and 880.58

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Solution

The fourth proportional to 984.12, 1,352.02 and 880.58 is: 1,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.12 : 1,352.02 = 880.58 : x
  2. Step 2: Convert to fraction form
    984.12/1,352.02 = 880.58/x
  3. Step 3: Cross multiply
    984.12x = 1,352.02 × 880.58
  4. Step 4: Simplify right side
    984.12x = 1,190,561.77
  5. Step 5: Solve for x
    x = 1,190,561.77/984.12
  6. Step 6: Final answer
    x = 1,209.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.