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Finding the Fourth Proportional to 485.34, 731.67 and 454.02

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Solution

The fourth proportional to 485.34, 731.67 and 454.02 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.34 : 731.67 = 454.02 : x
  2. Step 2: Convert to fraction form
    485.34/731.67 = 454.02/x
  3. Step 3: Cross multiply
    485.34x = 731.67 × 454.02
  4. Step 4: Simplify right side
    485.34x = 332,192.81
  5. Step 5: Solve for x
    x = 332,192.81/485.34
  6. Step 6: Final answer
    x = 684.45

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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.