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Finding the Fourth Proportional to 811.02, 1,215.74 and 262.83

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Solution

The fourth proportional to 811.02, 1,215.74 and 262.83 is: 393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.02 : 1,215.74 = 262.83 : x
  2. Step 2: Convert to fraction form
    811.02/1,215.74 = 262.83/x
  3. Step 3: Cross multiply
    811.02x = 1,215.74 × 262.83
  4. Step 4: Simplify right side
    811.02x = 319,526.87
  5. Step 5: Solve for x
    x = 319,526.87/811.02
  6. Step 6: Final answer
    x = 393.98

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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.