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Finding the Fourth Proportional to 1,006.60, 1,509.83 and 276.12

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Solution

The fourth proportional to 1,006.60, 1,509.83 and 276.12 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.60 : 1,509.83 = 276.12 : x
  2. Step 2: Convert to fraction form
    1,006.60/1,509.83 = 276.12/x
  3. Step 3: Cross multiply
    1,006.60x = 1,509.83 × 276.12
  4. Step 4: Simplify right side
    1,006.60x = 416,894.26
  5. Step 5: Solve for x
    x = 416,894.26/1,006.60
  6. Step 6: Final answer
    x = 414.16

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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.