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Finding the Fourth Proportional to 982.68, 1,472.88 and 800.40

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Solution

The fourth proportional to 982.68, 1,472.88 and 800.40 is: 1,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.68 : 1,472.88 = 800.40 : x
  2. Step 2: Convert to fraction form
    982.68/1,472.88 = 800.40/x
  3. Step 3: Cross multiply
    982.68x = 1,472.88 × 800.40
  4. Step 4: Simplify right side
    982.68x = 1,178,893.15
  5. Step 5: Solve for x
    x = 1,178,893.15/982.68
  6. Step 6: Final answer
    x = 1,199.67

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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.