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Finding the Fourth Proportional to 1,007.76, 1,509.60 and 923.76

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Solution

The fourth proportional to 1,007.76, 1,509.60 and 923.76 is: 1,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.76 : 1,509.60 = 923.76 : x
  2. Step 2: Convert to fraction form
    1,007.76/1,509.60 = 923.76/x
  3. Step 3: Cross multiply
    1,007.76x = 1,509.60 × 923.76
  4. Step 4: Simplify right side
    1,007.76x = 1,394,508.10
  5. Step 5: Solve for x
    x = 1,394,508.10/1,007.76
  6. Step 6: Final answer
    x = 1,383.77

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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.