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Finding the Fourth Proportional to 1,296.37, 1,789.02 and 706.91

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Solution

The fourth proportional to 1,296.37, 1,789.02 and 706.91 is: 975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.37 : 1,789.02 = 706.91 : x
  2. Step 2: Convert to fraction form
    1,296.37/1,789.02 = 706.91/x
  3. Step 3: Cross multiply
    1,296.37x = 1,789.02 × 706.91
  4. Step 4: Simplify right side
    1,296.37x = 1,264,676.13
  5. Step 5: Solve for x
    x = 1,264,676.13/1,296.37
  6. Step 6: Final answer
    x = 975.56

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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.