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Finding the Fourth Proportional to 401.47, 599.32 and 383.74

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Solution

The fourth proportional to 401.47, 599.32 and 383.74 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.47 : 599.32 = 383.74 : x
  2. Step 2: Convert to fraction form
    401.47/599.32 = 383.74/x
  3. Step 3: Cross multiply
    401.47x = 599.32 × 383.74
  4. Step 4: Simplify right side
    401.47x = 229,983.06
  5. Step 5: Solve for x
    x = 229,983.06/401.47
  6. Step 6: Final answer
    x = 572.85

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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.