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Finding the Fourth Proportional to 1,250.91, 1,875.62 and 557.21

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Solution

The fourth proportional to 1,250.91, 1,875.62 and 557.21 is: 835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.91 : 1,875.62 = 557.21 : x
  2. Step 2: Convert to fraction form
    1,250.91/1,875.62 = 557.21/x
  3. Step 3: Cross multiply
    1,250.91x = 1,875.62 × 557.21
  4. Step 4: Simplify right side
    1,250.91x = 1,045,120.30
  5. Step 5: Solve for x
    x = 1,045,120.30/1,250.91
  6. Step 6: Final answer
    x = 835.49

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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.