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Finding the Fourth Proportional to 847.43, 1,265.04 and 723.50

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Solution

The fourth proportional to 847.43, 1,265.04 and 723.50 is: 1,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.43 : 1,265.04 = 723.50 : x
  2. Step 2: Convert to fraction form
    847.43/1,265.04 = 723.50/x
  3. Step 3: Cross multiply
    847.43x = 1,265.04 × 723.50
  4. Step 4: Simplify right side
    847.43x = 915,256.44
  5. Step 5: Solve for x
    x = 915,256.44/847.43
  6. Step 6: Final answer
    x = 1,080.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.