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Finding the Fourth Proportional to 416.62, 574.76 and 285.40

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Solution

The fourth proportional to 416.62, 574.76 and 285.40 is: 393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.62 : 574.76 = 285.40 : x
  2. Step 2: Convert to fraction form
    416.62/574.76 = 285.40/x
  3. Step 3: Cross multiply
    416.62x = 574.76 × 285.40
  4. Step 4: Simplify right side
    416.62x = 164,036.50
  5. Step 5: Solve for x
    x = 164,036.50/416.62
  6. Step 6: Final answer
    x = 393.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.