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Finding the Fourth Proportional to 982.78, 1,355.68 and 589.72

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Solution

The fourth proportional to 982.78, 1,355.68 and 589.72 is: 813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.78 : 1,355.68 = 589.72 : x
  2. Step 2: Convert to fraction form
    982.78/1,355.68 = 589.72/x
  3. Step 3: Cross multiply
    982.78x = 1,355.68 × 589.72
  4. Step 4: Simplify right side
    982.78x = 799,471.61
  5. Step 5: Solve for x
    x = 799,471.61/982.78
  6. Step 6: Final answer
    x = 813.48

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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.