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Finding the Fourth Proportional to 1,223.51, 1,689.03 and 937.58

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Solution

The fourth proportional to 1,223.51, 1,689.03 and 937.58 is: 1,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.51 : 1,689.03 = 937.58 : x
  2. Step 2: Convert to fraction form
    1,223.51/1,689.03 = 937.58/x
  3. Step 3: Cross multiply
    1,223.51x = 1,689.03 × 937.58
  4. Step 4: Simplify right side
    1,223.51x = 1,583,592.30
  5. Step 5: Solve for x
    x = 1,583,592.30/1,223.51
  6. Step 6: Final answer
    x = 1,294.31

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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.