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Finding the Fourth Proportional to 846.15, 1,270.12 and 749.25

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Solution

The fourth proportional to 846.15, 1,270.12 and 749.25 is: 1,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.15 : 1,270.12 = 749.25 : x
  2. Step 2: Convert to fraction form
    846.15/1,270.12 = 749.25/x
  3. Step 3: Cross multiply
    846.15x = 1,270.12 × 749.25
  4. Step 4: Simplify right side
    846.15x = 951,637.41
  5. Step 5: Solve for x
    x = 951,637.41/846.15
  6. Step 6: Final answer
    x = 1,124.67

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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.