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Finding the Fourth Proportional to 982.79, 1,471.58 and 769.59

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Solution

The fourth proportional to 982.79, 1,471.58 and 769.59 is: 1,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.79 : 1,471.58 = 769.59 : x
  2. Step 2: Convert to fraction form
    982.79/1,471.58 = 769.59/x
  3. Step 3: Cross multiply
    982.79x = 1,471.58 × 769.59
  4. Step 4: Simplify right side
    982.79x = 1,132,509.40
  5. Step 5: Solve for x
    x = 1,132,509.40/982.79
  6. Step 6: Final answer
    x = 1,152.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.