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Finding the Fourth Proportional to 431.24, 642.22 and 412.52

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Solution

The fourth proportional to 431.24, 642.22 and 412.52 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.24 : 642.22 = 412.52 : x
  2. Step 2: Convert to fraction form
    431.24/642.22 = 412.52/x
  3. Step 3: Cross multiply
    431.24x = 642.22 × 412.52
  4. Step 4: Simplify right side
    431.24x = 264,928.59
  5. Step 5: Solve for x
    x = 264,928.59/431.24
  6. Step 6: Final answer
    x = 614.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.