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Finding the Fourth Proportional to 652.60, 982.45 and 563.32

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Solution

The fourth proportional to 652.60, 982.45 and 563.32 is: 848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.60 : 982.45 = 563.32 : x
  2. Step 2: Convert to fraction form
    652.60/982.45 = 563.32/x
  3. Step 3: Cross multiply
    652.60x = 982.45 × 563.32
  4. Step 4: Simplify right side
    652.60x = 553,433.73
  5. Step 5: Solve for x
    x = 553,433.73/652.60
  6. Step 6: Final answer
    x = 848.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.