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Finding the Fourth Proportional to 398.73, 599.31 and 390.23

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Solution

The fourth proportional to 398.73, 599.31 and 390.23 is: 586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.73 : 599.31 = 390.23 : x
  2. Step 2: Convert to fraction form
    398.73/599.31 = 390.23/x
  3. Step 3: Cross multiply
    398.73x = 599.31 × 390.23
  4. Step 4: Simplify right side
    398.73x = 233,868.74
  5. Step 5: Solve for x
    x = 233,868.74/398.73
  6. Step 6: Final answer
    x = 586.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.