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Finding the Fourth Proportional to 1,007.55, 1,511.19 and 277.17

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Solution

The fourth proportional to 1,007.55, 1,511.19 and 277.17 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.55 : 1,511.19 = 277.17 : x
  2. Step 2: Convert to fraction form
    1,007.55/1,511.19 = 277.17/x
  3. Step 3: Cross multiply
    1,007.55x = 1,511.19 × 277.17
  4. Step 4: Simplify right side
    1,007.55x = 418,856.53
  5. Step 5: Solve for x
    x = 418,856.53/1,007.55
  6. Step 6: Final answer
    x = 415.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.