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Finding the Fourth Proportional to 1,007.55, 1,390.37 and 634.41

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Solution

The fourth proportional to 1,007.55, 1,390.37 and 634.41 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.55 : 1,390.37 = 634.41 : x
  2. Step 2: Convert to fraction form
    1,007.55/1,390.37 = 634.41/x
  3. Step 3: Cross multiply
    1,007.55x = 1,390.37 × 634.41
  4. Step 4: Simplify right side
    1,007.55x = 882,061.46
  5. Step 5: Solve for x
    x = 882,061.46/1,007.55
  6. Step 6: Final answer
    x = 875.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.