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Finding the Fourth Proportional to 401.60, 598.72 and 372.56

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Solution

The fourth proportional to 401.60, 598.72 and 372.56 is: 555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 598.72 = 372.56 : x
  2. Step 2: Convert to fraction form
    401.60/598.72 = 372.56/x
  3. Step 3: Cross multiply
    401.60x = 598.72 × 372.56
  4. Step 4: Simplify right side
    401.60x = 223,059.12
  5. Step 5: Solve for x
    x = 223,059.12/401.60
  6. Step 6: Final answer
    x = 555.43

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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.