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Finding the Fourth Proportional to 1,583.24, 2,374.62 and 557

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Solution

The fourth proportional to 1,583.24, 2,374.62 and 557 is: 835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.24 : 2,374.62 = 557 : x
  2. Step 2: Convert to fraction form
    1,583.24/2,374.62 = 557/x
  3. Step 3: Cross multiply
    1,583.24x = 2,374.62 × 557
  4. Step 4: Simplify right side
    1,583.24x = 1,322,663.34
  5. Step 5: Solve for x
    x = 1,322,663.34/1,583.24
  6. Step 6: Final answer
    x = 835.42

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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.