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Finding the Fourth Proportional to 755.99, 1,138.19 and 592.35

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Solution

The fourth proportional to 755.99, 1,138.19 and 592.35 is: 891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.99 : 1,138.19 = 592.35 : x
  2. Step 2: Convert to fraction form
    755.99/1,138.19 = 592.35/x
  3. Step 3: Cross multiply
    755.99x = 1,138.19 × 592.35
  4. Step 4: Simplify right side
    755.99x = 674,203.88
  5. Step 5: Solve for x
    x = 674,203.88/755.99
  6. Step 6: Final answer
    x = 891.82

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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.