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Finding the Fourth Proportional to 759.24, 1,131.57 and 612.36

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Solution

The fourth proportional to 759.24, 1,131.57 and 612.36 is: 912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.24 : 1,131.57 = 612.36 : x
  2. Step 2: Convert to fraction form
    759.24/1,131.57 = 612.36/x
  3. Step 3: Cross multiply
    759.24x = 1,131.57 × 612.36
  4. Step 4: Simplify right side
    759.24x = 692,928.21
  5. Step 5: Solve for x
    x = 692,928.21/759.24
  6. Step 6: Final answer
    x = 912.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.