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Finding the Fourth Proportional to 690.27, 1,035.81 and 495.06

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Solution

The fourth proportional to 690.27, 1,035.81 and 495.06 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.27 : 1,035.81 = 495.06 : x
  2. Step 2: Convert to fraction form
    690.27/1,035.81 = 495.06/x
  3. Step 3: Cross multiply
    690.27x = 1,035.81 × 495.06
  4. Step 4: Simplify right side
    690.27x = 512,788.10
  5. Step 5: Solve for x
    x = 512,788.10/690.27
  6. Step 6: Final answer
    x = 742.88

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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.