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Finding the Fourth Proportional to 693.13, 960.65 and 680.17

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Solution

The fourth proportional to 693.13, 960.65 and 680.17 is: 942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.13 : 960.65 = 680.17 : x
  2. Step 2: Convert to fraction form
    693.13/960.65 = 680.17/x
  3. Step 3: Cross multiply
    693.13x = 960.65 × 680.17
  4. Step 4: Simplify right side
    693.13x = 653,405.31
  5. Step 5: Solve for x
    x = 653,405.31/693.13
  6. Step 6: Final answer
    x = 942.69

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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.