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Finding the Fourth Proportional to 592.11, 817.47 and 426.15

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Solution

The fourth proportional to 592.11, 817.47 and 426.15 is: 588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.11 : 817.47 = 426.15 : x
  2. Step 2: Convert to fraction form
    592.11/817.47 = 426.15/x
  3. Step 3: Cross multiply
    592.11x = 817.47 × 426.15
  4. Step 4: Simplify right side
    592.11x = 348,364.84
  5. Step 5: Solve for x
    x = 348,364.84/592.11
  6. Step 6: Final answer
    x = 588.34

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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.