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Finding the Fourth Proportional to 1,224.90, 1,690.17 and 693.64

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Solution

The fourth proportional to 1,224.90, 1,690.17 and 693.64 is: 957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.90 : 1,690.17 = 693.64 : x
  2. Step 2: Convert to fraction form
    1,224.90/1,690.17 = 693.64/x
  3. Step 3: Cross multiply
    1,224.90x = 1,690.17 × 693.64
  4. Step 4: Simplify right side
    1,224.90x = 1,172,369.52
  5. Step 5: Solve for x
    x = 1,172,369.52/1,224.90
  6. Step 6: Final answer
    x = 957.11

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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.