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Finding the Fourth Proportional to 698.64, 970.80 and 691.04

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Solution

The fourth proportional to 698.64, 970.80 and 691.04 is: 960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.64 : 970.80 = 691.04 : x
  2. Step 2: Convert to fraction form
    698.64/970.80 = 691.04/x
  3. Step 3: Cross multiply
    698.64x = 970.80 × 691.04
  4. Step 4: Simplify right side
    698.64x = 670,866.65
  5. Step 5: Solve for x
    x = 670,866.65/698.64
  6. Step 6: Final answer
    x = 960.25

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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.