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Finding the Fourth Proportional to 1,043.10, 1,440 and 806.51

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Solution

The fourth proportional to 1,043.10, 1,440 and 806.51 is: 1,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.10 : 1,440 = 806.51 : x
  2. Step 2: Convert to fraction form
    1,043.10/1,440 = 806.51/x
  3. Step 3: Cross multiply
    1,043.10x = 1,440 × 806.51
  4. Step 4: Simplify right side
    1,043.10x = 1,161,378
  5. Step 5: Solve for x
    x = 1,161,378/1,043.10
  6. Step 6: Final answer
    x = 1,113.39

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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.