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Finding the Fourth Proportional to 1,005.48, 1,508.43 and 312.13

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Solution

The fourth proportional to 1,005.48, 1,508.43 and 312.13 is: 468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.48 : 1,508.43 = 312.13 : x
  2. Step 2: Convert to fraction form
    1,005.48/1,508.43 = 312.13/x
  3. Step 3: Cross multiply
    1,005.48x = 1,508.43 × 312.13
  4. Step 4: Simplify right side
    1,005.48x = 470,826.26
  5. Step 5: Solve for x
    x = 470,826.26/1,005.48
  6. Step 6: Final answer
    x = 468.26

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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.