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Finding the Fourth Proportional to 1,105.18, 1,657.87 and 557.01

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Solution

The fourth proportional to 1,105.18, 1,657.87 and 557.01 is: 835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.18 : 1,657.87 = 557.01 : x
  2. Step 2: Convert to fraction form
    1,105.18/1,657.87 = 557.01/x
  3. Step 3: Cross multiply
    1,105.18x = 1,657.87 × 557.01
  4. Step 4: Simplify right side
    1,105.18x = 923,448.78
  5. Step 5: Solve for x
    x = 923,448.78/1,105.18
  6. Step 6: Final answer
    x = 835.57

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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.