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Finding the Fourth Proportional to 1,002.50, 1,503.75 and 847.97

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Solution

The fourth proportional to 1,002.50, 1,503.75 and 847.97 is: 1,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.50 : 1,503.75 = 847.97 : x
  2. Step 2: Convert to fraction form
    1,002.50/1,503.75 = 847.97/x
  3. Step 3: Cross multiply
    1,002.50x = 1,503.75 × 847.97
  4. Step 4: Simplify right side
    1,002.50x = 1,275,136.19
  5. Step 5: Solve for x
    x = 1,275,136.19/1,002.50
  6. Step 6: Final answer
    x = 1,271.96

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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.