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Finding the Fourth Proportional to 1,027.51, 1,540.81 and 637.50

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Solution

The fourth proportional to 1,027.51, 1,540.81 and 637.50 is: 955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.51 : 1,540.81 = 637.50 : x
  2. Step 2: Convert to fraction form
    1,027.51/1,540.81 = 637.50/x
  3. Step 3: Cross multiply
    1,027.51x = 1,540.81 × 637.50
  4. Step 4: Simplify right side
    1,027.51x = 982,262.49
  5. Step 5: Solve for x
    x = 982,262.49/1,027.51
  6. Step 6: Final answer
    x = 955.96

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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.