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Finding the Fourth Proportional to 407.46, 613.96 and 388.92

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Solution

The fourth proportional to 407.46, 613.96 and 388.92 is: 586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 613.96 = 388.92 : x
  2. Step 2: Convert to fraction form
    407.46/613.96 = 388.92/x
  3. Step 3: Cross multiply
    407.46x = 613.96 × 388.92
  4. Step 4: Simplify right side
    407.46x = 238,781.32
  5. Step 5: Solve for x
    x = 238,781.32/407.46
  6. Step 6: Final answer
    x = 586.02

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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.