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Finding the Fourth Proportional to 833.70, 1,145.90 and 734.88

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Solution

The fourth proportional to 833.70, 1,145.90 and 734.88 is: 1,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,145.90 = 734.88 : x
  2. Step 2: Convert to fraction form
    833.70/1,145.90 = 734.88/x
  3. Step 3: Cross multiply
    833.70x = 1,145.90 × 734.88
  4. Step 4: Simplify right side
    833.70x = 842,098.99
  5. Step 5: Solve for x
    x = 842,098.99/833.70
  6. Step 6: Final answer
    x = 1,010.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.