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Finding the Fourth Proportional to 399.93, 598.07 and 380.49

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Solution

The fourth proportional to 399.93, 598.07 and 380.49 is: 569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.93 : 598.07 = 380.49 : x
  2. Step 2: Convert to fraction form
    399.93/598.07 = 380.49/x
  3. Step 3: Cross multiply
    399.93x = 598.07 × 380.49
  4. Step 4: Simplify right side
    399.93x = 227,559.65
  5. Step 5: Solve for x
    x = 227,559.65/399.93
  6. Step 6: Final answer
    x = 569.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.