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Finding the Fourth Proportional to 982.35, 1,472.13 and 800.10

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Solution

The fourth proportional to 982.35, 1,472.13 and 800.10 is: 1,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.35 : 1,472.13 = 800.10 : x
  2. Step 2: Convert to fraction form
    982.35/1,472.13 = 800.10/x
  3. Step 3: Cross multiply
    982.35x = 1,472.13 × 800.10
  4. Step 4: Simplify right side
    982.35x = 1,177,851.21
  5. Step 5: Solve for x
    x = 1,177,851.21/982.35
  6. Step 6: Final answer
    x = 1,199.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.