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Finding the Fourth Proportional to 494.02, 739.88 and 390.62

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Solution

The fourth proportional to 494.02, 739.88 and 390.62 is: 585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 739.88 = 390.62 : x
  2. Step 2: Convert to fraction form
    494.02/739.88 = 390.62/x
  3. Step 3: Cross multiply
    494.02x = 739.88 × 390.62
  4. Step 4: Simplify right side
    494.02x = 289,011.93
  5. Step 5: Solve for x
    x = 289,011.93/494.02
  6. Step 6: Final answer
    x = 585.02

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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.