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Finding the Fourth Proportional to 598.27, 826.16 and 450.65

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Solution

The fourth proportional to 598.27, 826.16 and 450.65 is: 622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.27 : 826.16 = 450.65 : x
  2. Step 2: Convert to fraction form
    598.27/826.16 = 450.65/x
  3. Step 3: Cross multiply
    598.27x = 826.16 × 450.65
  4. Step 4: Simplify right side
    598.27x = 372,309.00
  5. Step 5: Solve for x
    x = 372,309.00/598.27
  6. Step 6: Final answer
    x = 622.31

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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.