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Finding the Fourth Proportional to 494.02, 740.78 and 288.65

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Solution

The fourth proportional to 494.02, 740.78 and 288.65 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 740.78 = 288.65 : x
  2. Step 2: Convert to fraction form
    494.02/740.78 = 288.65/x
  3. Step 3: Cross multiply
    494.02x = 740.78 × 288.65
  4. Step 4: Simplify right side
    494.02x = 213,828.72
  5. Step 5: Solve for x
    x = 213,828.72/494.02
  6. Step 6: Final answer
    x = 432.84

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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.