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Finding the Fourth Proportional to 1,142.08, 1,575.97 and 644.76

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Solution

The fourth proportional to 1,142.08, 1,575.97 and 644.76 is: 889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.08 : 1,575.97 = 644.76 : x
  2. Step 2: Convert to fraction form
    1,142.08/1,575.97 = 644.76/x
  3. Step 3: Cross multiply
    1,142.08x = 1,575.97 × 644.76
  4. Step 4: Simplify right side
    1,142.08x = 1,016,120.81
  5. Step 5: Solve for x
    x = 1,016,120.81/1,142.08
  6. Step 6: Final answer
    x = 889.71

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1.5x scale

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.