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Finding the Fourth Proportional to 426.57, 643.40 and 375.85

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Solution

The fourth proportional to 426.57, 643.40 and 375.85 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.57 : 643.40 = 375.85 : x
  2. Step 2: Convert to fraction form
    426.57/643.40 = 375.85/x
  3. Step 3: Cross multiply
    426.57x = 643.40 × 375.85
  4. Step 4: Simplify right side
    426.57x = 241,821.89
  5. Step 5: Solve for x
    x = 241,821.89/426.57
  6. Step 6: Final answer
    x = 566.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.