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Finding the Fourth Proportional to 810.95, 1,216.74 and 656.21

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Solution

The fourth proportional to 810.95, 1,216.74 and 656.21 is: 984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.95 : 1,216.74 = 656.21 : x
  2. Step 2: Convert to fraction form
    810.95/1,216.74 = 656.21/x
  3. Step 3: Cross multiply
    810.95x = 1,216.74 × 656.21
  4. Step 4: Simplify right side
    810.95x = 798,430.87
  5. Step 5: Solve for x
    x = 798,430.87/810.95
  6. Step 6: Final answer
    x = 984.56

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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.