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Finding the Fourth Proportional to 1,035.25, 1,428.86 and 637.03

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Solution

The fourth proportional to 1,035.25, 1,428.86 and 637.03 is: 879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.25 : 1,428.86 = 637.03 : x
  2. Step 2: Convert to fraction form
    1,035.25/1,428.86 = 637.03/x
  3. Step 3: Cross multiply
    1,035.25x = 1,428.86 × 637.03
  4. Step 4: Simplify right side
    1,035.25x = 910,226.69
  5. Step 5: Solve for x
    x = 910,226.69/1,035.25
  6. Step 6: Final answer
    x = 879.23

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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.