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Finding the Fourth Proportional to 844.06, 1,264.32 and 715.36

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Solution

The fourth proportional to 844.06, 1,264.32 and 715.36 is: 1,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.06 : 1,264.32 = 715.36 : x
  2. Step 2: Convert to fraction form
    844.06/1,264.32 = 715.36/x
  3. Step 3: Cross multiply
    844.06x = 1,264.32 × 715.36
  4. Step 4: Simplify right side
    844.06x = 904,443.96
  5. Step 5: Solve for x
    x = 904,443.96/844.06
  6. Step 6: Final answer
    x = 1,071.54

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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.