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Finding the Fourth Proportional to 1,005.50, 1,508.46 and 312.15

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Solution

The fourth proportional to 1,005.50, 1,508.46 and 312.15 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.50 : 1,508.46 = 312.15 : x
  2. Step 2: Convert to fraction form
    1,005.50/1,508.46 = 312.15/x
  3. Step 3: Cross multiply
    1,005.50x = 1,508.46 × 312.15
  4. Step 4: Simplify right side
    1,005.50x = 470,864.23
  5. Step 5: Solve for x
    x = 470,864.23/1,005.50
  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.