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Finding the Fourth Proportional to 494.48, 741.90 and 289.02

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Solution

The fourth proportional to 494.48, 741.90 and 289.02 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 741.90 = 289.02 : x
  2. Step 2: Convert to fraction form
    494.48/741.90 = 289.02/x
  3. Step 3: Cross multiply
    494.48x = 741.90 × 289.02
  4. Step 4: Simplify right side
    494.48x = 214,423.94
  5. Step 5: Solve for x
    x = 214,423.94/494.48
  6. Step 6: Final answer
    x = 433.64

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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.