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Finding the Fourth Proportional to 401.56, 597.17 and 392.45

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Solution

The fourth proportional to 401.56, 597.17 and 392.45 is: 583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.56 : 597.17 = 392.45 : x
  2. Step 2: Convert to fraction form
    401.56/597.17 = 392.45/x
  3. Step 3: Cross multiply
    401.56x = 597.17 × 392.45
  4. Step 4: Simplify right side
    401.56x = 234,357.36
  5. Step 5: Solve for x
    x = 234,357.36/401.56
  6. Step 6: Final answer
    x = 583.62

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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.