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Finding the Fourth Proportional to 684.18, 1,026.27 and 454.55

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Solution

The fourth proportional to 684.18, 1,026.27 and 454.55 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.18 : 1,026.27 = 454.55 : x
  2. Step 2: Convert to fraction form
    684.18/1,026.27 = 454.55/x
  3. Step 3: Cross multiply
    684.18x = 1,026.27 × 454.55
  4. Step 4: Simplify right side
    684.18x = 466,485.90
  5. Step 5: Solve for x
    x = 466,485.90/684.18
  6. Step 6: Final answer
    x = 681.82

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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.