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Finding the Fourth Proportional to 816.51, 1,225.17 and 426.36

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Solution

The fourth proportional to 816.51, 1,225.17 and 426.36 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.51 : 1,225.17 = 426.36 : x
  2. Step 2: Convert to fraction form
    816.51/1,225.17 = 426.36/x
  3. Step 3: Cross multiply
    816.51x = 1,225.17 × 426.36
  4. Step 4: Simplify right side
    816.51x = 522,363.48
  5. Step 5: Solve for x
    x = 522,363.48/816.51
  6. Step 6: Final answer
    x = 639.75

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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.