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Finding the Fourth Proportional to 1,529.50, 2,290.50 and 878.26

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Solution

The fourth proportional to 1,529.50, 2,290.50 and 878.26 is: 1,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.50 : 2,290.50 = 878.26 : x
  2. Step 2: Convert to fraction form
    1,529.50/2,290.50 = 878.26/x
  3. Step 3: Cross multiply
    1,529.50x = 2,290.50 × 878.26
  4. Step 4: Simplify right side
    1,529.50x = 2,011,654.53
  5. Step 5: Solve for x
    x = 2,011,654.53/1,529.50
  6. Step 6: Final answer
    x = 1,315.24

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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.