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Finding the Fourth Proportional to 708.72, 969.36 and 697.38

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Solution

The fourth proportional to 708.72, 969.36 and 697.38 is: 953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.72 : 969.36 = 697.38 : x
  2. Step 2: Convert to fraction form
    708.72/969.36 = 697.38/x
  3. Step 3: Cross multiply
    708.72x = 969.36 × 697.38
  4. Step 4: Simplify right side
    708.72x = 676,012.28
  5. Step 5: Solve for x
    x = 676,012.28/708.72
  6. Step 6: Final answer
    x = 953.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.