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Finding the Fourth Proportional to 772.99, 1,159.52 and 443.78

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Solution

The fourth proportional to 772.99, 1,159.52 and 443.78 is: 665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.99 : 1,159.52 = 443.78 : x
  2. Step 2: Convert to fraction form
    772.99/1,159.52 = 443.78/x
  3. Step 3: Cross multiply
    772.99x = 1,159.52 × 443.78
  4. Step 4: Simplify right side
    772.99x = 514,568.12
  5. Step 5: Solve for x
    x = 514,568.12/772.99
  6. Step 6: Final answer
    x = 665.68

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1.5x scale

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.