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Finding the Fourth Proportional to 772.23, 1,155.87 and 655.59

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Solution

The fourth proportional to 772.23, 1,155.87 and 655.59 is: 981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.23 : 1,155.87 = 655.59 : x
  2. Step 2: Convert to fraction form
    772.23/1,155.87 = 655.59/x
  3. Step 3: Cross multiply
    772.23x = 1,155.87 × 655.59
  4. Step 4: Simplify right side
    772.23x = 757,776.81
  5. Step 5: Solve for x
    x = 757,776.81/772.23
  6. Step 6: Final answer
    x = 981.28

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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.