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Finding the Fourth Proportional to 864, 1,293.64 and 604.26

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Solution

The fourth proportional to 864, 1,293.64 and 604.26 is: 904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,293.64 = 604.26 : x
  2. Step 2: Convert to fraction form
    864/1,293.64 = 604.26/x
  3. Step 3: Cross multiply
    864x = 1,293.64 × 604.26
  4. Step 4: Simplify right side
    864x = 781,693.40
  5. Step 5: Solve for x
    x = 781,693.40/864
  6. Step 6: Final answer
    x = 904.74

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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.