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Finding the Fourth Proportional to 1,280.99, 1,767.53 and 808.56

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Solution

The fourth proportional to 1,280.99, 1,767.53 and 808.56 is: 1,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.99 : 1,767.53 = 808.56 : x
  2. Step 2: Convert to fraction form
    1,280.99/1,767.53 = 808.56/x
  3. Step 3: Cross multiply
    1,280.99x = 1,767.53 × 808.56
  4. Step 4: Simplify right side
    1,280.99x = 1,429,156.08
  5. Step 5: Solve for x
    x = 1,429,156.08/1,280.99
  6. Step 6: Final answer
    x = 1,115.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.