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Finding the Fourth Proportional to 1,175.48, 1,764.50 and 866.37

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Solution

The fourth proportional to 1,175.48, 1,764.50 and 866.37 is: 1,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.48 : 1,764.50 = 866.37 : x
  2. Step 2: Convert to fraction form
    1,175.48/1,764.50 = 866.37/x
  3. Step 3: Cross multiply
    1,175.48x = 1,764.50 × 866.37
  4. Step 4: Simplify right side
    1,175.48x = 1,528,705.53
  5. Step 5: Solve for x
    x = 1,528,705.53/1,175.48
  6. Step 6: Final answer
    x = 1,300.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.