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Finding the Fourth Proportional to 810.09, 1,117.34 and 797.94

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Solution

The fourth proportional to 810.09, 1,117.34 and 797.94 is: 1,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.09 : 1,117.34 = 797.94 : x
  2. Step 2: Convert to fraction form
    810.09/1,117.34 = 797.94/x
  3. Step 3: Cross multiply
    810.09x = 1,117.34 × 797.94
  4. Step 4: Simplify right side
    810.09x = 891,560.70
  5. Step 5: Solve for x
    x = 891,560.70/810.09
  6. Step 6: Final answer
    x = 1,100.58

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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.