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Finding the Fourth Proportional to 1,005.45, 1,508.31 and 312.17

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Solution

The fourth proportional to 1,005.45, 1,508.31 and 312.17 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.45 : 1,508.31 = 312.17 : x
  2. Step 2: Convert to fraction form
    1,005.45/1,508.31 = 312.17/x
  3. Step 3: Cross multiply
    1,005.45x = 1,508.31 × 312.17
  4. Step 4: Simplify right side
    1,005.45x = 470,841.59
  5. Step 5: Solve for x
    x = 470,841.59/1,005.45
  6. Step 6: Final answer
    x = 468.29

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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.