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Finding the Fourth Proportional to 407.97, 609.01 and 390.24

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Solution

The fourth proportional to 407.97, 609.01 and 390.24 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 609.01 = 390.24 : x
  2. Step 2: Convert to fraction form
    407.97/609.01 = 390.24/x
  3. Step 3: Cross multiply
    407.97x = 609.01 × 390.24
  4. Step 4: Simplify right side
    407.97x = 237,660.06
  5. Step 5: Solve for x
    x = 237,660.06/407.97
  6. Step 6: Final answer
    x = 582.54

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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.