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Finding the Fourth Proportional to 1,217.57, 1,680.21 and 693.56

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Solution

The fourth proportional to 1,217.57, 1,680.21 and 693.56 is: 957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.57 : 1,680.21 = 693.56 : x
  2. Step 2: Convert to fraction form
    1,217.57/1,680.21 = 693.56/x
  3. Step 3: Cross multiply
    1,217.57x = 1,680.21 × 693.56
  4. Step 4: Simplify right side
    1,217.57x = 1,165,330.65
  5. Step 5: Solve for x
    x = 1,165,330.65/1,217.57
  6. Step 6: Final answer
    x = 957.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.