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Finding the Fourth Proportional to 950.76, 1,427.76 and 707.76

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Solution

The fourth proportional to 950.76, 1,427.76 and 707.76 is: 1,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.76 : 1,427.76 = 707.76 : x
  2. Step 2: Convert to fraction form
    950.76/1,427.76 = 707.76/x
  3. Step 3: Cross multiply
    950.76x = 1,427.76 × 707.76
  4. Step 4: Simplify right side
    950.76x = 1,010,511.42
  5. Step 5: Solve for x
    x = 1,010,511.42/950.76
  6. Step 6: Final answer
    x = 1,062.85

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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.