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Finding the Fourth Proportional to 1,583.78, 2,374.83 and 557.06

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Solution

The fourth proportional to 1,583.78, 2,374.83 and 557.06 is: 835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.78 : 2,374.83 = 557.06 : x
  2. Step 2: Convert to fraction form
    1,583.78/2,374.83 = 557.06/x
  3. Step 3: Cross multiply
    1,583.78x = 2,374.83 × 557.06
  4. Step 4: Simplify right side
    1,583.78x = 1,322,922.80
  5. Step 5: Solve for x
    x = 1,322,922.80/1,583.78
  6. Step 6: Final answer
    x = 835.29

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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.