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Finding the Fourth Proportional to 817, 1,126.90 and 592.54

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Solution

The fourth proportional to 817, 1,126.90 and 592.54 is: 817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,126.90 = 592.54 : x
  2. Step 2: Convert to fraction form
    817/1,126.90 = 592.54/x
  3. Step 3: Cross multiply
    817x = 1,126.90 × 592.54
  4. Step 4: Simplify right side
    817x = 667,733.33
  5. Step 5: Solve for x
    x = 667,733.33/817
  6. Step 6: Final answer
    x = 817.30

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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.