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Finding the Fourth Proportional to 592.50, 818.72 and 426.44

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Solution

The fourth proportional to 592.50, 818.72 and 426.44 is: 589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.50 : 818.72 = 426.44 : x
  2. Step 2: Convert to fraction form
    592.50/818.72 = 426.44/x
  3. Step 3: Cross multiply
    592.50x = 818.72 × 426.44
  4. Step 4: Simplify right side
    592.50x = 349,134.96
  5. Step 5: Solve for x
    x = 349,134.96/592.50
  6. Step 6: Final answer
    x = 589.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.