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Finding the Fourth Proportional to 807.56, 1,205.54 and 772.10

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Solution

The fourth proportional to 807.56, 1,205.54 and 772.10 is: 1,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.56 : 1,205.54 = 772.10 : x
  2. Step 2: Convert to fraction form
    807.56/1,205.54 = 772.10/x
  3. Step 3: Cross multiply
    807.56x = 1,205.54 × 772.10
  4. Step 4: Simplify right side
    807.56x = 930,797.43
  5. Step 5: Solve for x
    x = 930,797.43/807.56
  6. Step 6: Final answer
    x = 1,152.60

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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.