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Finding the Fourth Proportional to 800.09, 1,102.93 and 631.76

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Solution

The fourth proportional to 800.09, 1,102.93 and 631.76 is: 870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.09 : 1,102.93 = 631.76 : x
  2. Step 2: Convert to fraction form
    800.09/1,102.93 = 631.76/x
  3. Step 3: Cross multiply
    800.09x = 1,102.93 × 631.76
  4. Step 4: Simplify right side
    800.09x = 696,779.96
  5. Step 5: Solve for x
    x = 696,779.96/800.09
  6. Step 6: Final answer
    x = 870.88

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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.