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Finding the Fourth Proportional to 869.13, 1,302.62 and 406.31

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Solution

The fourth proportional to 869.13, 1,302.62 and 406.31 is: 608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.13 : 1,302.62 = 406.31 : x
  2. Step 2: Convert to fraction form
    869.13/1,302.62 = 406.31/x
  3. Step 3: Cross multiply
    869.13x = 1,302.62 × 406.31
  4. Step 4: Simplify right side
    869.13x = 529,258.99
  5. Step 5: Solve for x
    x = 529,258.99/869.13
  6. Step 6: Final answer
    x = 608.95

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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.