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Finding the Fourth Proportional to 982.68, 1,356.14 and 589.70

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Solution

The fourth proportional to 982.68, 1,356.14 and 589.70 is: 813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.68 : 1,356.14 = 589.70 : x
  2. Step 2: Convert to fraction form
    982.68/1,356.14 = 589.70/x
  3. Step 3: Cross multiply
    982.68x = 1,356.14 × 589.70
  4. Step 4: Simplify right side
    982.68x = 799,715.76
  5. Step 5: Solve for x
    x = 799,715.76/982.68
  6. Step 6: Final answer
    x = 813.81

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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.