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Finding the Fourth Proportional to 816.30, 1,126.37 and 594.56

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Solution

The fourth proportional to 816.30, 1,126.37 and 594.56 is: 820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.30 : 1,126.37 = 594.56 : x
  2. Step 2: Convert to fraction form
    816.30/1,126.37 = 594.56/x
  3. Step 3: Cross multiply
    816.30x = 1,126.37 × 594.56
  4. Step 4: Simplify right side
    816.30x = 669,698.85
  5. Step 5: Solve for x
    x = 669,698.85/816.30
  6. Step 6: Final answer
    x = 820.41

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1.5x scale

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.