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Finding the Fourth Proportional to 864.43, 1,193.64 and 585.59

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Solution

The fourth proportional to 864.43, 1,193.64 and 585.59 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.43 : 1,193.64 = 585.59 : x
  2. Step 2: Convert to fraction form
    864.43/1,193.64 = 585.59/x
  3. Step 3: Cross multiply
    864.43x = 1,193.64 × 585.59
  4. Step 4: Simplify right side
    864.43x = 698,974.75
  5. Step 5: Solve for x
    x = 698,974.75/864.43
  6. Step 6: Final answer
    x = 808.60

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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.