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Finding the Fourth Proportional to 1,296.93, 1,789.80 and 707.48

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Solution

The fourth proportional to 1,296.93, 1,789.80 and 707.48 is: 976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.93 : 1,789.80 = 707.48 : x
  2. Step 2: Convert to fraction form
    1,296.93/1,789.80 = 707.48/x
  3. Step 3: Cross multiply
    1,296.93x = 1,789.80 × 707.48
  4. Step 4: Simplify right side
    1,296.93x = 1,266,238.76
  5. Step 5: Solve for x
    x = 1,266,238.76/1,296.93
  6. Step 6: Final answer
    x = 976.34

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1.5x scale

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.