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Finding the Fourth Proportional to 944.51, 1,302.17 and 775.82

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Solution

The fourth proportional to 944.51, 1,302.17 and 775.82 is: 1,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.51 : 1,302.17 = 775.82 : x
  2. Step 2: Convert to fraction form
    944.51/1,302.17 = 775.82/x
  3. Step 3: Cross multiply
    944.51x = 1,302.17 × 775.82
  4. Step 4: Simplify right side
    944.51x = 1,010,248.91
  5. Step 5: Solve for x
    x = 1,010,248.91/944.51
  6. Step 6: Final answer
    x = 1,069.61

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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.