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Finding the Fourth Proportional to 1,007.70, 1,511.24 and 391.36

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Solution

The fourth proportional to 1,007.70, 1,511.24 and 391.36 is: 586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.70 : 1,511.24 = 391.36 : x
  2. Step 2: Convert to fraction form
    1,007.70/1,511.24 = 391.36/x
  3. Step 3: Cross multiply
    1,007.70x = 1,511.24 × 391.36
  4. Step 4: Simplify right side
    1,007.70x = 591,438.89
  5. Step 5: Solve for x
    x = 591,438.89/1,007.70
  6. Step 6: Final answer
    x = 586.92

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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.