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Finding the Fourth Proportional to 431.12, 643.14 and 416.48

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Solution

The fourth proportional to 431.12, 643.14 and 416.48 is: 621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 643.14 = 416.48 : x
  2. Step 2: Convert to fraction form
    431.12/643.14 = 416.48/x
  3. Step 3: Cross multiply
    431.12x = 643.14 × 416.48
  4. Step 4: Simplify right side
    431.12x = 267,854.95
  5. Step 5: Solve for x
    x = 267,854.95/431.12
  6. Step 6: Final answer
    x = 621.30

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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.