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Finding the Fourth Proportional to 1,078.36, 1,487.70 and 719.62

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Solution

The fourth proportional to 1,078.36, 1,487.70 and 719.62 is: 992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.36 : 1,487.70 = 719.62 : x
  2. Step 2: Convert to fraction form
    1,078.36/1,487.70 = 719.62/x
  3. Step 3: Cross multiply
    1,078.36x = 1,487.70 × 719.62
  4. Step 4: Simplify right side
    1,078.36x = 1,070,578.67
  5. Step 5: Solve for x
    x = 1,070,578.67/1,078.36
  6. Step 6: Final answer
    x = 992.78

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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.