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Finding the Fourth Proportional to 495.05, 742.50 and 289.31

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Solution

The fourth proportional to 495.05, 742.50 and 289.31 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.05 : 742.50 = 289.31 : x
  2. Step 2: Convert to fraction form
    495.05/742.50 = 289.31/x
  3. Step 3: Cross multiply
    495.05x = 742.50 × 289.31
  4. Step 4: Simplify right side
    495.05x = 214,808.96
  5. Step 5: Solve for x
    x = 214,808.96/495.05
  6. Step 6: Final answer
    x = 433.92

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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.