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Finding the Fourth Proportional to 758.60, 1,043.87 and 736.05

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Solution

The fourth proportional to 758.60, 1,043.87 and 736.05 is: 1,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.60 : 1,043.87 = 736.05 : x
  2. Step 2: Convert to fraction form
    758.60/1,043.87 = 736.05/x
  3. Step 3: Cross multiply
    758.60x = 1,043.87 × 736.05
  4. Step 4: Simplify right side
    758.60x = 768,336.83
  5. Step 5: Solve for x
    x = 768,336.83/758.60
  6. Step 6: Final answer
    x = 1,012.84

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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.