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Finding the Fourth Proportional to 1,100.32, 1,650.48 and 644

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Solution

The fourth proportional to 1,100.32, 1,650.48 and 644 is: 966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.32 : 1,650.48 = 644 : x
  2. Step 2: Convert to fraction form
    1,100.32/1,650.48 = 644/x
  3. Step 3: Cross multiply
    1,100.32x = 1,650.48 × 644
  4. Step 4: Simplify right side
    1,100.32x = 1,062,909.12
  5. Step 5: Solve for x
    x = 1,062,909.12/1,100.32
  6. Step 6: Final answer
    x = 966.00

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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.