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Finding the Fourth Proportional to 1,580.78, 2,371.85 and 656.54

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Solution

The fourth proportional to 1,580.78, 2,371.85 and 656.54 is: 985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.78 : 2,371.85 = 656.54 : x
  2. Step 2: Convert to fraction form
    1,580.78/2,371.85 = 656.54/x
  3. Step 3: Cross multiply
    1,580.78x = 2,371.85 × 656.54
  4. Step 4: Simplify right side
    1,580.78x = 1,557,199.26
  5. Step 5: Solve for x
    x = 1,557,199.26/1,580.78
  6. Step 6: Final answer
    x = 985.09

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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.