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Finding the Fourth Proportional to 838.52, 1,157.55 and 559.22

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Solution

The fourth proportional to 838.52, 1,157.55 and 559.22 is: 771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.52 : 1,157.55 = 559.22 : x
  2. Step 2: Convert to fraction form
    838.52/1,157.55 = 559.22/x
  3. Step 3: Cross multiply
    838.52x = 1,157.55 × 559.22
  4. Step 4: Simplify right side
    838.52x = 647,325.11
  5. Step 5: Solve for x
    x = 647,325.11/838.52
  6. Step 6: Final answer
    x = 771.99

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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.