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Finding the Fourth Proportional to 755.45, 1,040.56 and 534.01

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Solution

The fourth proportional to 755.45, 1,040.56 and 534.01 is: 735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.45 : 1,040.56 = 534.01 : x
  2. Step 2: Convert to fraction form
    755.45/1,040.56 = 534.01/x
  3. Step 3: Cross multiply
    755.45x = 1,040.56 × 534.01
  4. Step 4: Simplify right side
    755.45x = 555,669.45
  5. Step 5: Solve for x
    x = 555,669.45/755.45
  6. Step 6: Final answer
    x = 735.55

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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.