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Finding the Fourth Proportional to 816.39, 1,224.05 and 431.91

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Solution

The fourth proportional to 816.39, 1,224.05 and 431.91 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.39 : 1,224.05 = 431.91 : x
  2. Step 2: Convert to fraction form
    816.39/1,224.05 = 431.91/x
  3. Step 3: Cross multiply
    816.39x = 1,224.05 × 431.91
  4. Step 4: Simplify right side
    816.39x = 528,677.28
  5. Step 5: Solve for x
    x = 528,677.28/816.39
  6. Step 6: Final answer
    x = 647.58

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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.