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Finding the Fourth Proportional to 755.47, 1,040.46 and 607.64

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Solution

The fourth proportional to 755.47, 1,040.46 and 607.64 is: 836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.47 : 1,040.46 = 607.64 : x
  2. Step 2: Convert to fraction form
    755.47/1,040.46 = 607.64/x
  3. Step 3: Cross multiply
    755.47x = 1,040.46 × 607.64
  4. Step 4: Simplify right side
    755.47x = 632,225.11
  5. Step 5: Solve for x
    x = 632,225.11/755.47
  6. Step 6: Final answer
    x = 836.87

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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.