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Finding the Fourth Proportional to 1,207.78, 1,810.26 and 557.14

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Solution

The fourth proportional to 1,207.78, 1,810.26 and 557.14 is: 835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.78 : 1,810.26 = 557.14 : x
  2. Step 2: Convert to fraction form
    1,207.78/1,810.26 = 557.14/x
  3. Step 3: Cross multiply
    1,207.78x = 1,810.26 × 557.14
  4. Step 4: Simplify right side
    1,207.78x = 1,008,568.26
  5. Step 5: Solve for x
    x = 1,008,568.26/1,207.78
  6. Step 6: Final answer
    x = 835.06

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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.