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Finding the Fourth Proportional to 431.81, 648.32 and 412.23

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Solution

The fourth proportional to 431.81, 648.32 and 412.23 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 648.32 = 412.23 : x
  2. Step 2: Convert to fraction form
    431.81/648.32 = 412.23/x
  3. Step 3: Cross multiply
    431.81x = 648.32 × 412.23
  4. Step 4: Simplify right side
    431.81x = 267,254.89
  5. Step 5: Solve for x
    x = 267,254.89/431.81
  6. Step 6: Final answer
    x = 618.92

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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.