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Finding the Fourth Proportional to 1,073.07, 1,600.94 and 956.21

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Solution

The fourth proportional to 1,073.07, 1,600.94 and 956.21 is: 1,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.07 : 1,600.94 = 956.21 : x
  2. Step 2: Convert to fraction form
    1,073.07/1,600.94 = 956.21/x
  3. Step 3: Cross multiply
    1,073.07x = 1,600.94 × 956.21
  4. Step 4: Simplify right side
    1,073.07x = 1,530,822.05
  5. Step 5: Solve for x
    x = 1,530,822.05/1,073.07
  6. Step 6: Final answer
    x = 1,426.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.