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Finding the Fourth Proportional to 401.72, 599.18 and 389.58

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Solution

The fourth proportional to 401.72, 599.18 and 389.58 is: 581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.72 : 599.18 = 389.58 : x
  2. Step 2: Convert to fraction form
    401.72/599.18 = 389.58/x
  3. Step 3: Cross multiply
    401.72x = 599.18 × 389.58
  4. Step 4: Simplify right side
    401.72x = 233,428.54
  5. Step 5: Solve for x
    x = 233,428.54/401.72
  6. Step 6: Final answer
    x = 581.07

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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.