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Finding the Fourth Proportional to 1,223.97, 1,689.35 and 957.89

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Solution

The fourth proportional to 1,223.97, 1,689.35 and 957.89 is: 1,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.97 : 1,689.35 = 957.89 : x
  2. Step 2: Convert to fraction form
    1,223.97/1,689.35 = 957.89/x
  3. Step 3: Cross multiply
    1,223.97x = 1,689.35 × 957.89
  4. Step 4: Simplify right side
    1,223.97x = 1,618,211.47
  5. Step 5: Solve for x
    x = 1,618,211.47/1,223.97
  6. Step 6: Final answer
    x = 1,322.10

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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.