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Finding the Fourth Proportional to 431.84, 643.06 and 421.52

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Solution

The fourth proportional to 431.84, 643.06 and 421.52 is: 627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 643.06 = 421.52 : x
  2. Step 2: Convert to fraction form
    431.84/643.06 = 421.52/x
  3. Step 3: Cross multiply
    431.84x = 643.06 × 421.52
  4. Step 4: Simplify right side
    431.84x = 271,062.65
  5. Step 5: Solve for x
    x = 271,062.65/431.84
  6. Step 6: Final answer
    x = 627.69

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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.