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Finding the Fourth Proportional to 599.30, 826.15 and 421.73

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Solution

The fourth proportional to 599.30, 826.15 and 421.73 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.30 : 826.15 = 421.73 : x
  2. Step 2: Convert to fraction form
    599.30/826.15 = 421.73/x
  3. Step 3: Cross multiply
    599.30x = 826.15 × 421.73
  4. Step 4: Simplify right side
    599.30x = 348,412.24
  5. Step 5: Solve for x
    x = 348,412.24/599.30
  6. Step 6: Final answer
    x = 581.37

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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.