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Finding the Fourth Proportional to 1,142.21, 1,576.26 and 638.06

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Solution

The fourth proportional to 1,142.21, 1,576.26 and 638.06 is: 880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.21 : 1,576.26 = 638.06 : x
  2. Step 2: Convert to fraction form
    1,142.21/1,576.26 = 638.06/x
  3. Step 3: Cross multiply
    1,142.21x = 1,576.26 × 638.06
  4. Step 4: Simplify right side
    1,142.21x = 1,005,750.00
  5. Step 5: Solve for x
    x = 1,005,750.00/1,142.21
  6. Step 6: Final answer
    x = 880.53

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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.