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Finding the Fourth Proportional to 758.41, 1,135.28 and 424.39

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Solution

The fourth proportional to 758.41, 1,135.28 and 424.39 is: 635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.41 : 1,135.28 = 424.39 : x
  2. Step 2: Convert to fraction form
    758.41/1,135.28 = 424.39/x
  3. Step 3: Cross multiply
    758.41x = 1,135.28 × 424.39
  4. Step 4: Simplify right side
    758.41x = 481,799.36
  5. Step 5: Solve for x
    x = 481,799.36/758.41
  6. Step 6: Final answer
    x = 635.28

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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.