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Finding the Fourth Proportional to 485.88, 731.70 and 409.34

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Solution

The fourth proportional to 485.88, 731.70 and 409.34 is: 616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.88 : 731.70 = 409.34 : x
  2. Step 2: Convert to fraction form
    485.88/731.70 = 409.34/x
  3. Step 3: Cross multiply
    485.88x = 731.70 × 409.34
  4. Step 4: Simplify right side
    485.88x = 299,510.42
  5. Step 5: Solve for x
    x = 299,510.42/485.88
  6. Step 6: Final answer
    x = 616.43

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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.