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Finding the Fourth Proportional to 1,296.49, 1,789.13 and 707.03

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Solution

The fourth proportional to 1,296.49, 1,789.13 and 707.03 is: 975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.49 : 1,789.13 = 707.03 : x
  2. Step 2: Convert to fraction form
    1,296.49/1,789.13 = 707.03/x
  3. Step 3: Cross multiply
    1,296.49x = 1,789.13 × 707.03
  4. Step 4: Simplify right side
    1,296.49x = 1,264,963.14
  5. Step 5: Solve for x
    x = 1,264,963.14/1,296.49
  6. Step 6: Final answer
    x = 975.68

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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.