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Finding the Fourth Proportional to 1,217.44, 1,680.08 and 693.51

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Solution

The fourth proportional to 1,217.44, 1,680.08 and 693.51 is: 957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.44 : 1,680.08 = 693.51 : x
  2. Step 2: Convert to fraction form
    1,217.44/1,680.08 = 693.51/x
  3. Step 3: Cross multiply
    1,217.44x = 1,680.08 × 693.51
  4. Step 4: Simplify right side
    1,217.44x = 1,165,152.28
  5. Step 5: Solve for x
    x = 1,165,152.28/1,217.44
  6. Step 6: Final answer
    x = 957.05

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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.