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Finding the Fourth Proportional to 1,057.22, 1,459.06 and 637.78

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Solution

The fourth proportional to 1,057.22, 1,459.06 and 637.78 is: 880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.22 : 1,459.06 = 637.78 : x
  2. Step 2: Convert to fraction form
    1,057.22/1,459.06 = 637.78/x
  3. Step 3: Cross multiply
    1,057.22x = 1,459.06 × 637.78
  4. Step 4: Simplify right side
    1,057.22x = 930,559.29
  5. Step 5: Solve for x
    x = 930,559.29/1,057.22
  6. Step 6: Final answer
    x = 880.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.