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Finding the Fourth Proportional to 810.85, 1,216.02 and 262.93

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Solution

The fourth proportional to 810.85, 1,216.02 and 262.93 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.85 : 1,216.02 = 262.93 : x
  2. Step 2: Convert to fraction form
    810.85/1,216.02 = 262.93/x
  3. Step 3: Cross multiply
    810.85x = 1,216.02 × 262.93
  4. Step 4: Simplify right side
    810.85x = 319,728.14
  5. Step 5: Solve for x
    x = 319,728.14/810.85
  6. Step 6: Final answer
    x = 394.31

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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.