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Finding the Fourth Proportional to 1,007.11, 1,509.51 and 519.58

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Solution

The fourth proportional to 1,007.11, 1,509.51 and 519.58 is: 778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.11 : 1,509.51 = 519.58 : x
  2. Step 2: Convert to fraction form
    1,007.11/1,509.51 = 519.58/x
  3. Step 3: Cross multiply
    1,007.11x = 1,509.51 × 519.58
  4. Step 4: Simplify right side
    1,007.11x = 784,311.21
  5. Step 5: Solve for x
    x = 784,311.21/1,007.11
  6. Step 6: Final answer
    x = 778.77

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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.