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Finding the Fourth Proportional to 1,380.48, 1,904.20 and 1,007.88

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Solution

The fourth proportional to 1,380.48, 1,904.20 and 1,007.88 is: 1,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.48 : 1,904.20 = 1,007.88 : x
  2. Step 2: Convert to fraction form
    1,380.48/1,904.20 = 1,007.88/x
  3. Step 3: Cross multiply
    1,380.48x = 1,904.20 × 1,007.88
  4. Step 4: Simplify right side
    1,380.48x = 1,919,205.10
  5. Step 5: Solve for x
    x = 1,919,205.10/1,380.48
  6. Step 6: Final answer
    x = 1,390.24

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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.