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Finding the Fourth Proportional to 401.69, 598.74 and 372.10

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Solution

The fourth proportional to 401.69, 598.74 and 372.10 is: 554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 598.74 = 372.10 : x
  2. Step 2: Convert to fraction form
    401.69/598.74 = 372.10/x
  3. Step 3: Cross multiply
    401.69x = 598.74 × 372.10
  4. Step 4: Simplify right side
    401.69x = 222,790.79
  5. Step 5: Solve for x
    x = 222,790.79/401.69
  6. Step 6: Final answer
    x = 554.63

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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.