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Finding the Fourth Proportional to 698.29, 962.76 and 495.97

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Solution

The fourth proportional to 698.29, 962.76 and 495.97 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.29 : 962.76 = 495.97 : x
  2. Step 2: Convert to fraction form
    698.29/962.76 = 495.97/x
  3. Step 3: Cross multiply
    698.29x = 962.76 × 495.97
  4. Step 4: Simplify right side
    698.29x = 477,500.08
  5. Step 5: Solve for x
    x = 477,500.08/698.29
  6. Step 6: Final answer
    x = 683.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.