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Finding the Fourth Proportional to 844.26, 1,264.06 and 432.51

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Solution

The fourth proportional to 844.26, 1,264.06 and 432.51 is: 647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.26 : 1,264.06 = 432.51 : x
  2. Step 2: Convert to fraction form
    844.26/1,264.06 = 432.51/x
  3. Step 3: Cross multiply
    844.26x = 1,264.06 × 432.51
  4. Step 4: Simplify right side
    844.26x = 546,717.51
  5. Step 5: Solve for x
    x = 546,717.51/844.26
  6. Step 6: Final answer
    x = 647.57

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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.