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Finding the Fourth Proportional to 399.64, 598.82 and 384.66

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Solution

The fourth proportional to 399.64, 598.82 and 384.66 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.64 : 598.82 = 384.66 : x
  2. Step 2: Convert to fraction form
    399.64/598.82 = 384.66/x
  3. Step 3: Cross multiply
    399.64x = 598.82 × 384.66
  4. Step 4: Simplify right side
    399.64x = 230,342.10
  5. Step 5: Solve for x
    x = 230,342.10/399.64
  6. Step 6: Final answer
    x = 576.37

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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.