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Finding the Fourth Proportional to 485.53, 731.95 and 454.21

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Solution

The fourth proportional to 485.53, 731.95 and 454.21 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.53 : 731.95 = 454.21 : x
  2. Step 2: Convert to fraction form
    485.53/731.95 = 454.21/x
  3. Step 3: Cross multiply
    485.53x = 731.95 × 454.21
  4. Step 4: Simplify right side
    485.53x = 332,457.75
  5. Step 5: Solve for x
    x = 332,457.75/485.53
  6. Step 6: Final answer
    x = 684.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.