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Finding the Fourth Proportional to 1,105.12, 1,525.10 and 639.64

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Solution

The fourth proportional to 1,105.12, 1,525.10 and 639.64 is: 882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.12 : 1,525.10 = 639.64 : x
  2. Step 2: Convert to fraction form
    1,105.12/1,525.10 = 639.64/x
  3. Step 3: Cross multiply
    1,105.12x = 1,525.10 × 639.64
  4. Step 4: Simplify right side
    1,105.12x = 975,514.96
  5. Step 5: Solve for x
    x = 975,514.96/1,105.12
  6. Step 6: Final answer
    x = 882.72

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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.