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Finding the Fourth Proportional to 1,040.83, 1,561.79 and 754.63

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Solution

The fourth proportional to 1,040.83, 1,561.79 and 754.63 is: 1,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.83 : 1,561.79 = 754.63 : x
  2. Step 2: Convert to fraction form
    1,040.83/1,561.79 = 754.63/x
  3. Step 3: Cross multiply
    1,040.83x = 1,561.79 × 754.63
  4. Step 4: Simplify right side
    1,040.83x = 1,178,569.81
  5. Step 5: Solve for x
    x = 1,178,569.81/1,040.83
  6. Step 6: Final answer
    x = 1,132.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.