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Finding the Fourth Proportional to 1,005.97, 1,509.20 and 356.71

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Solution

The fourth proportional to 1,005.97, 1,509.20 and 356.71 is: 535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.97 : 1,509.20 = 356.71 : x
  2. Step 2: Convert to fraction form
    1,005.97/1,509.20 = 356.71/x
  3. Step 3: Cross multiply
    1,005.97x = 1,509.20 × 356.71
  4. Step 4: Simplify right side
    1,005.97x = 538,346.73
  5. Step 5: Solve for x
    x = 538,346.73/1,005.97
  6. Step 6: Final answer
    x = 535.15

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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.