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Finding the Fourth Proportional to 583.62, 871.95 and 426.66

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Solution

The fourth proportional to 583.62, 871.95 and 426.66 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.62 : 871.95 = 426.66 : x
  2. Step 2: Convert to fraction form
    583.62/871.95 = 426.66/x
  3. Step 3: Cross multiply
    583.62x = 871.95 × 426.66
  4. Step 4: Simplify right side
    583.62x = 372,026.19
  5. Step 5: Solve for x
    x = 372,026.19/583.62
  6. Step 6: Final answer
    x = 637.45

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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.