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Finding the Fourth Proportional to 684.59, 1,027.91 and 547.23

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Solution

The fourth proportional to 684.59, 1,027.91 and 547.23 is: 821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.59 : 1,027.91 = 547.23 : x
  2. Step 2: Convert to fraction form
    684.59/1,027.91 = 547.23/x
  3. Step 3: Cross multiply
    684.59x = 1,027.91 × 547.23
  4. Step 4: Simplify right side
    684.59x = 562,503.19
  5. Step 5: Solve for x
    x = 562,503.19/684.59
  6. Step 6: Final answer
    x = 821.66

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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.