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Finding the Fourth Proportional to 1,005.36, 1,388.28 and 633

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Solution

The fourth proportional to 1,005.36, 1,388.28 and 633 is: 874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.36 : 1,388.28 = 633 : x
  2. Step 2: Convert to fraction form
    1,005.36/1,388.28 = 633/x
  3. Step 3: Cross multiply
    1,005.36x = 1,388.28 × 633
  4. Step 4: Simplify right side
    1,005.36x = 878,781.24
  5. Step 5: Solve for x
    x = 878,781.24/1,005.36
  6. Step 6: Final answer
    x = 874.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.