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Finding the Fourth Proportional to 822.90, 1,239.89 and 734.47

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Solution

The fourth proportional to 822.90, 1,239.89 and 734.47 is: 1,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.90 : 1,239.89 = 734.47 : x
  2. Step 2: Convert to fraction form
    822.90/1,239.89 = 734.47/x
  3. Step 3: Cross multiply
    822.90x = 1,239.89 × 734.47
  4. Step 4: Simplify right side
    822.90x = 910,662.01
  5. Step 5: Solve for x
    x = 910,662.01/822.90
  6. Step 6: Final answer
    x = 1,106.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.