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Finding the Fourth Proportional to 759.87, 1,137.98 and 539.64

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Solution

The fourth proportional to 759.87, 1,137.98 and 539.64 is: 808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.87 : 1,137.98 = 539.64 : x
  2. Step 2: Convert to fraction form
    759.87/1,137.98 = 539.64/x
  3. Step 3: Cross multiply
    759.87x = 1,137.98 × 539.64
  4. Step 4: Simplify right side
    759.87x = 614,096.83
  5. Step 5: Solve for x
    x = 614,096.83/759.87
  6. Step 6: Final answer
    x = 808.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.