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Finding the Fourth Proportional to 698.23, 970.24 and 690.65

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Solution

The fourth proportional to 698.23, 970.24 and 690.65 is: 959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.23 : 970.24 = 690.65 : x
  2. Step 2: Convert to fraction form
    698.23/970.24 = 690.65/x
  3. Step 3: Cross multiply
    698.23x = 970.24 × 690.65
  4. Step 4: Simplify right side
    698.23x = 670,096.26
  5. Step 5: Solve for x
    x = 670,096.26/698.23
  6. Step 6: Final answer
    x = 959.71

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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.