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Finding the Fourth Proportional to 1,297.00, 1,789.82 and 707.53

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Solution

The fourth proportional to 1,297.00, 1,789.82 and 707.53 is: 976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.00 : 1,789.82 = 707.53 : x
  2. Step 2: Convert to fraction form
    1,297.00/1,789.82 = 707.53/x
  3. Step 3: Cross multiply
    1,297.00x = 1,789.82 × 707.53
  4. Step 4: Simplify right side
    1,297.00x = 1,266,347.81
  5. Step 5: Solve for x
    x = 1,266,347.81/1,297.00
  6. Step 6: Final answer
    x = 976.37

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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.