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Finding the Fourth Proportional to 1,035.59, 1,428.94 and 637.17

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Solution

The fourth proportional to 1,035.59, 1,428.94 and 637.17 is: 879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.59 : 1,428.94 = 637.17 : x
  2. Step 2: Convert to fraction form
    1,035.59/1,428.94 = 637.17/x
  3. Step 3: Cross multiply
    1,035.59x = 1,428.94 × 637.17
  4. Step 4: Simplify right side
    1,035.59x = 910,473.14
  5. Step 5: Solve for x
    x = 910,473.14/1,035.59
  6. Step 6: Final answer
    x = 879.19

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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.