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Finding the Fourth Proportional to 1,296.50, 1,789.19 and 707.05

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Solution

The fourth proportional to 1,296.50, 1,789.19 and 707.05 is: 975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.50 : 1,789.19 = 707.05 : x
  2. Step 2: Convert to fraction form
    1,296.50/1,789.19 = 707.05/x
  3. Step 3: Cross multiply
    1,296.50x = 1,789.19 × 707.05
  4. Step 4: Simplify right side
    1,296.50x = 1,265,046.79
  5. Step 5: Solve for x
    x = 1,265,046.79/1,296.50
  6. Step 6: Final answer
    x = 975.74

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