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Finding the Fourth Proportional to 1,297.10, 1,789.98 and 707.64

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Solution

The fourth proportional to 1,297.10, 1,789.98 and 707.64 is: 976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.10 : 1,789.98 = 707.64 : x
  2. Step 2: Convert to fraction form
    1,297.10/1,789.98 = 707.64/x
  3. Step 3: Cross multiply
    1,297.10x = 1,789.98 × 707.64
  4. Step 4: Simplify right side
    1,297.10x = 1,266,661.45
  5. Step 5: Solve for x
    x = 1,266,661.45/1,297.10
  6. Step 6: Final answer
    x = 976.53

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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.