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Finding the Fourth Proportional to 1,059.87, 1,580.99 and 887.65

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Solution

The fourth proportional to 1,059.87, 1,580.99 and 887.65 is: 1,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.87 : 1,580.99 = 887.65 : x
  2. Step 2: Convert to fraction form
    1,059.87/1,580.99 = 887.65/x
  3. Step 3: Cross multiply
    1,059.87x = 1,580.99 × 887.65
  4. Step 4: Simplify right side
    1,059.87x = 1,403,365.77
  5. Step 5: Solve for x
    x = 1,403,365.77/1,059.87
  6. Step 6: Final answer
    x = 1,324.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.