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Finding the Fourth Proportional to 1,007.77, 1,511.48 and 277.18

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Solution

The fourth proportional to 1,007.77, 1,511.48 and 277.18 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.77 : 1,511.48 = 277.18 : x
  2. Step 2: Convert to fraction form
    1,007.77/1,511.48 = 277.18/x
  3. Step 3: Cross multiply
    1,007.77x = 1,511.48 × 277.18
  4. Step 4: Simplify right side
    1,007.77x = 418,952.03
  5. Step 5: Solve for x
    x = 418,952.03/1,007.77
  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.