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Finding the Fourth Proportional to 592.63, 816.72 and 426.55

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Solution

The fourth proportional to 592.63, 816.72 and 426.55 is: 587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.63 : 816.72 = 426.55 : x
  2. Step 2: Convert to fraction form
    592.63/816.72 = 426.55/x
  3. Step 3: Cross multiply
    592.63x = 816.72 × 426.55
  4. Step 4: Simplify right side
    592.63x = 348,371.92
  5. Step 5: Solve for x
    x = 348,371.92/592.63
  6. Step 6: Final answer
    x = 587.84

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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.