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Finding the Fourth Proportional to 599, 826.32 and 402.56

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Solution

The fourth proportional to 599, 826.32 and 402.56 is: 555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599 : 826.32 = 402.56 : x
  2. Step 2: Convert to fraction form
    599/826.32 = 402.56/x
  3. Step 3: Cross multiply
    599x = 826.32 × 402.56
  4. Step 4: Simplify right side
    599x = 332,643.38
  5. Step 5: Solve for x
    x = 332,643.38/599
  6. Step 6: Final answer
    x = 555.33

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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.