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Finding the Fourth Proportional to 1,006.03, 1,509.38 and 908.98

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Solution

The fourth proportional to 1,006.03, 1,509.38 and 908.98 is: 1,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.03 : 1,509.38 = 908.98 : x
  2. Step 2: Convert to fraction form
    1,006.03/1,509.38 = 908.98/x
  3. Step 3: Cross multiply
    1,006.03x = 1,509.38 × 908.98
  4. Step 4: Simplify right side
    1,006.03x = 1,371,994.73
  5. Step 5: Solve for x
    x = 1,371,994.73/1,006.03
  6. Step 6: Final answer
    x = 1,363.77

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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.