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Finding the Fourth Proportional to 980.28, 1,352.76 and 566.28

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Solution

The fourth proportional to 980.28, 1,352.76 and 566.28 is: 781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.28 : 1,352.76 = 566.28 : x
  2. Step 2: Convert to fraction form
    980.28/1,352.76 = 566.28/x
  3. Step 3: Cross multiply
    980.28x = 1,352.76 × 566.28
  4. Step 4: Simplify right side
    980.28x = 766,040.93
  5. Step 5: Solve for x
    x = 766,040.93/980.28
  6. Step 6: Final answer
    x = 781.45

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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.