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Finding the Fourth Proportional to 868.42, 1,303.09 and 381.81

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Solution

The fourth proportional to 868.42, 1,303.09 and 381.81 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.42 : 1,303.09 = 381.81 : x
  2. Step 2: Convert to fraction form
    868.42/1,303.09 = 381.81/x
  3. Step 3: Cross multiply
    868.42x = 1,303.09 × 381.81
  4. Step 4: Simplify right side
    868.42x = 497,536.72
  5. Step 5: Solve for x
    x = 497,536.72/868.42
  6. Step 6: Final answer
    x = 572.92

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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.