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Finding the Fourth Proportional to 1,007.73, 1,390.75 and 634.59

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Solution

The fourth proportional to 1,007.73, 1,390.75 and 634.59 is: 875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.73 : 1,390.75 = 634.59 : x
  2. Step 2: Convert to fraction form
    1,007.73/1,390.75 = 634.59/x
  3. Step 3: Cross multiply
    1,007.73x = 1,390.75 × 634.59
  4. Step 4: Simplify right side
    1,007.73x = 882,554.46
  5. Step 5: Solve for x
    x = 882,554.46/1,007.73
  6. Step 6: Final answer
    x = 875.78

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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.