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Finding the Fourth Proportional to 982.17, 1,355.47 and 562.65

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Solution

The fourth proportional to 982.17, 1,355.47 and 562.65 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.17 : 1,355.47 = 562.65 : x
  2. Step 2: Convert to fraction form
    982.17/1,355.47 = 562.65/x
  3. Step 3: Cross multiply
    982.17x = 1,355.47 × 562.65
  4. Step 4: Simplify right side
    982.17x = 762,655.20
  5. Step 5: Solve for x
    x = 762,655.20/982.17
  6. Step 6: Final answer
    x = 776.50

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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.