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Finding the Fourth Proportional to 754.11, 1,135.36 and 590.47

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Solution

The fourth proportional to 754.11, 1,135.36 and 590.47 is: 888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.11 : 1,135.36 = 590.47 : x
  2. Step 2: Convert to fraction form
    754.11/1,135.36 = 590.47/x
  3. Step 3: Cross multiply
    754.11x = 1,135.36 × 590.47
  4. Step 4: Simplify right side
    754.11x = 670,393.92
  5. Step 5: Solve for x
    x = 670,393.92/754.11
  6. Step 6: Final answer
    x = 888.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.