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Finding the Fourth Proportional to 1,223.93, 1,689.03 and 664.40

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Solution

The fourth proportional to 1,223.93, 1,689.03 and 664.40 is: 916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.93 : 1,689.03 = 664.40 : x
  2. Step 2: Convert to fraction form
    1,223.93/1,689.03 = 664.40/x
  3. Step 3: Cross multiply
    1,223.93x = 1,689.03 × 664.40
  4. Step 4: Simplify right side
    1,223.93x = 1,122,191.98
  5. Step 5: Solve for x
    x = 1,122,191.98/1,223.93
  6. Step 6: Final answer
    x = 916.87

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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.