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Finding the Fourth Proportional to 399.69, 598.23 and 362.79

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Solution

The fourth proportional to 399.69, 598.23 and 362.79 is: 543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.69 : 598.23 = 362.79 : x
  2. Step 2: Convert to fraction form
    399.69/598.23 = 362.79/x
  3. Step 3: Cross multiply
    399.69x = 598.23 × 362.79
  4. Step 4: Simplify right side
    399.69x = 217,031.86
  5. Step 5: Solve for x
    x = 217,031.86/399.69
  6. Step 6: Final answer
    x = 543.00

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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.