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Finding the Fourth Proportional to 598.68, 826.47 and 399.85

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Solution

The fourth proportional to 598.68, 826.47 and 399.85 is: 551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 826.47 = 399.85 : x
  2. Step 2: Convert to fraction form
    598.68/826.47 = 399.85/x
  3. Step 3: Cross multiply
    598.68x = 826.47 × 399.85
  4. Step 4: Simplify right side
    598.68x = 330,457.90
  5. Step 5: Solve for x
    x = 330,457.90/598.68
  6. Step 6: Final answer
    x = 551.98

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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.