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Finding the Fourth Proportional to 468.01, 698.56 and 399.02

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Solution

The fourth proportional to 468.01, 698.56 and 399.02 is: 595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.01 : 698.56 = 399.02 : x
  2. Step 2: Convert to fraction form
    468.01/698.56 = 399.02/x
  3. Step 3: Cross multiply
    468.01x = 698.56 × 399.02
  4. Step 4: Simplify right side
    468.01x = 278,739.41
  5. Step 5: Solve for x
    x = 278,739.41/468.01
  6. Step 6: Final answer
    x = 595.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.