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Finding the Fourth Proportional to 1,006.48, 1,509.82 and 348.27

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Solution

The fourth proportional to 1,006.48, 1,509.82 and 348.27 is: 522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.48 : 1,509.82 = 348.27 : x
  2. Step 2: Convert to fraction form
    1,006.48/1,509.82 = 348.27/x
  3. Step 3: Cross multiply
    1,006.48x = 1,509.82 × 348.27
  4. Step 4: Simplify right side
    1,006.48x = 525,825.01
  5. Step 5: Solve for x
    x = 525,825.01/1,006.48
  6. Step 6: Final answer
    x = 522.44

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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.