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Finding the Fourth Proportional to 846.63, 1,269.45 and 744.12

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Solution

The fourth proportional to 846.63, 1,269.45 and 744.12 is: 1,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.63 : 1,269.45 = 744.12 : x
  2. Step 2: Convert to fraction form
    846.63/1,269.45 = 744.12/x
  3. Step 3: Cross multiply
    846.63x = 1,269.45 × 744.12
  4. Step 4: Simplify right side
    846.63x = 944,623.13
  5. Step 5: Solve for x
    x = 944,623.13/846.63
  6. Step 6: Final answer
    x = 1,115.74

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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.