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Finding the Fourth Proportional to 838.80, 1,157.40 and 559.44

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Solution

The fourth proportional to 838.80, 1,157.40 and 559.44 is: 771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.80 : 1,157.40 = 559.44 : x
  2. Step 2: Convert to fraction form
    838.80/1,157.40 = 559.44/x
  3. Step 3: Cross multiply
    838.80x = 1,157.40 × 559.44
  4. Step 4: Simplify right side
    838.80x = 647,495.86
  5. Step 5: Solve for x
    x = 647,495.86/838.80
  6. Step 6: Final answer
    x = 771.93

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1.5x scale

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.