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Finding the Fourth Proportional to 1,007.99, 1,511.63 and 349.69

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Solution

The fourth proportional to 1,007.99, 1,511.63 and 349.69 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.99 : 1,511.63 = 349.69 : x
  2. Step 2: Convert to fraction form
    1,007.99/1,511.63 = 349.69/x
  3. Step 3: Cross multiply
    1,007.99x = 1,511.63 × 349.69
  4. Step 4: Simplify right side
    1,007.99x = 528,601.89
  5. Step 5: Solve for x
    x = 528,601.89/1,007.99
  6. Step 6: Final answer
    x = 524.41

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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.