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Finding the Fourth Proportional to 431.74, 643.25 and 411.10

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Solution

The fourth proportional to 431.74, 643.25 and 411.10 is: 612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 643.25 = 411.10 : x
  2. Step 2: Convert to fraction form
    431.74/643.25 = 411.10/x
  3. Step 3: Cross multiply
    431.74x = 643.25 × 411.10
  4. Step 4: Simplify right side
    431.74x = 264,440.08
  5. Step 5: Solve for x
    x = 264,440.08/431.74
  6. Step 6: Final answer
    x = 612.50

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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.