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Finding the Fourth Proportional to 1,223.62, 1,689.68 and 924.33

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Solution

The fourth proportional to 1,223.62, 1,689.68 and 924.33 is: 1,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.62 : 1,689.68 = 924.33 : x
  2. Step 2: Convert to fraction form
    1,223.62/1,689.68 = 924.33/x
  3. Step 3: Cross multiply
    1,223.62x = 1,689.68 × 924.33
  4. Step 4: Simplify right side
    1,223.62x = 1,561,824.23
  5. Step 5: Solve for x
    x = 1,561,824.23/1,223.62
  6. Step 6: Final answer
    x = 1,276.40

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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.