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Finding the Fourth Proportional to 772.10, 1,159.05 and 443.30

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Solution

The fourth proportional to 772.10, 1,159.05 and 443.30 is: 665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,159.05 = 443.30 : x
  2. Step 2: Convert to fraction form
    772.10/1,159.05 = 443.30/x
  3. Step 3: Cross multiply
    772.10x = 1,159.05 × 443.30
  4. Step 4: Simplify right side
    772.10x = 513,806.87
  5. Step 5: Solve for x
    x = 513,806.87/772.10
  6. Step 6: Final answer
    x = 665.47

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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.