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Finding the Fourth Proportional to 981.80, 1,355.48 and 650.51

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Solution

The fourth proportional to 981.80, 1,355.48 and 650.51 is: 898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.80 : 1,355.48 = 650.51 : x
  2. Step 2: Convert to fraction form
    981.80/1,355.48 = 650.51/x
  3. Step 3: Cross multiply
    981.80x = 1,355.48 × 650.51
  4. Step 4: Simplify right side
    981.80x = 881,753.29
  5. Step 5: Solve for x
    x = 881,753.29/981.80
  6. Step 6: Final answer
    x = 898.10

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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.