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Finding the Fourth Proportional to 431.40, 642.58 and 426.01

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Solution

The fourth proportional to 431.40, 642.58 and 426.01 is: 634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 642.58 = 426.01 : x
  2. Step 2: Convert to fraction form
    431.40/642.58 = 426.01/x
  3. Step 3: Cross multiply
    431.40x = 642.58 × 426.01
  4. Step 4: Simplify right side
    431.40x = 273,746.44
  5. Step 5: Solve for x
    x = 273,746.44/431.40
  6. Step 6: Final answer
    x = 634.55

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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.