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Finding the Fourth Proportional to 869.26, 1,303.88 and 292.18

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Solution

The fourth proportional to 869.26, 1,303.88 and 292.18 is: 438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.26 : 1,303.88 = 292.18 : x
  2. Step 2: Convert to fraction form
    869.26/1,303.88 = 292.18/x
  3. Step 3: Cross multiply
    869.26x = 1,303.88 × 292.18
  4. Step 4: Simplify right side
    869.26x = 380,967.66
  5. Step 5: Solve for x
    x = 380,967.66/869.26
  6. Step 6: Final answer
    x = 438.27

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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.