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Finding the Fourth Proportional to 1,142.04, 1,575.97 and 644.67

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Solution

The fourth proportional to 1,142.04, 1,575.97 and 644.67 is: 889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.04 : 1,575.97 = 644.67 : x
  2. Step 2: Convert to fraction form
    1,142.04/1,575.97 = 644.67/x
  3. Step 3: Cross multiply
    1,142.04x = 1,575.97 × 644.67
  4. Step 4: Simplify right side
    1,142.04x = 1,015,980.58
  5. Step 5: Solve for x
    x = 1,015,980.58/1,142.04
  6. Step 6: Final answer
    x = 889.62

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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.