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Finding the Fourth Proportional to 844.48, 1,264.10 and 772.71

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Solution

The fourth proportional to 844.48, 1,264.10 and 772.71 is: 1,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.48 : 1,264.10 = 772.71 : x
  2. Step 2: Convert to fraction form
    844.48/1,264.10 = 772.71/x
  3. Step 3: Cross multiply
    844.48x = 1,264.10 × 772.71
  4. Step 4: Simplify right side
    844.48x = 976,782.71
  5. Step 5: Solve for x
    x = 976,782.71/844.48
  6. Step 6: Final answer
    x = 1,156.67

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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.