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Finding the Fourth Proportional to 869.31, 1,303.71 and 349.14

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Solution

The fourth proportional to 869.31, 1,303.71 and 349.14 is: 523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.31 : 1,303.71 = 349.14 : x
  2. Step 2: Convert to fraction form
    869.31/1,303.71 = 349.14/x
  3. Step 3: Cross multiply
    869.31x = 1,303.71 × 349.14
  4. Step 4: Simplify right side
    869.31x = 455,180.89
  5. Step 5: Solve for x
    x = 455,180.89/869.31
  6. Step 6: Final answer
    x = 523.61

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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.