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Finding the Fourth Proportional to 772.16, 1,155.80 and 655.52

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Solution

The fourth proportional to 772.16, 1,155.80 and 655.52 is: 981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.16 : 1,155.80 = 655.52 : x
  2. Step 2: Convert to fraction form
    772.16/1,155.80 = 655.52/x
  3. Step 3: Cross multiply
    772.16x = 1,155.80 × 655.52
  4. Step 4: Simplify right side
    772.16x = 757,650.02
  5. Step 5: Solve for x
    x = 757,650.02/772.16
  6. Step 6: Final answer
    x = 981.21

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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.