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Finding the Fourth Proportional to 982.04, 1,355.31 and 562.46

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Solution

The fourth proportional to 982.04, 1,355.31 and 562.46 is: 776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.04 : 1,355.31 = 562.46 : x
  2. Step 2: Convert to fraction form
    982.04/1,355.31 = 562.46/x
  3. Step 3: Cross multiply
    982.04x = 1,355.31 × 562.46
  4. Step 4: Simplify right side
    982.04x = 762,300.89
  5. Step 5: Solve for x
    x = 762,300.89/982.04
  6. Step 6: Final answer
    x = 776.25

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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.