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Finding the Fourth Proportional to 697.51, 969.24 and 689.92

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Solution

The fourth proportional to 697.51, 969.24 and 689.92 is: 958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.51 : 969.24 = 689.92 : x
  2. Step 2: Convert to fraction form
    697.51/969.24 = 689.92/x
  3. Step 3: Cross multiply
    697.51x = 969.24 × 689.92
  4. Step 4: Simplify right side
    697.51x = 668,696.28
  5. Step 5: Solve for x
    x = 668,696.28/697.51
  6. Step 6: Final answer
    x = 958.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.