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Finding the Fourth Proportional to 759.77, 1,139.18 and 412.24

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Solution

The fourth proportional to 759.77, 1,139.18 and 412.24 is: 618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.77 : 1,139.18 = 412.24 : x
  2. Step 2: Convert to fraction form
    759.77/1,139.18 = 412.24/x
  3. Step 3: Cross multiply
    759.77x = 1,139.18 × 412.24
  4. Step 4: Simplify right side
    759.77x = 469,615.56
  5. Step 5: Solve for x
    x = 469,615.56/759.77
  6. Step 6: Final answer
    x = 618.10

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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.