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Finding the Fourth Proportional to 431.66, 643.72 and 402.50

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Solution

The fourth proportional to 431.66, 643.72 and 402.50 is: 600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.66 : 643.72 = 402.50 : x
  2. Step 2: Convert to fraction form
    431.66/643.72 = 402.50/x
  3. Step 3: Cross multiply
    431.66x = 643.72 × 402.50
  4. Step 4: Simplify right side
    431.66x = 259,097.30
  5. Step 5: Solve for x
    x = 259,097.30/431.66
  6. Step 6: Final answer
    x = 600.23

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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.