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Finding the Fourth Proportional to 418.76, 578.07 and 392.52

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Solution

The fourth proportional to 418.76, 578.07 and 392.52 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.76 : 578.07 = 392.52 : x
  2. Step 2: Convert to fraction form
    418.76/578.07 = 392.52/x
  3. Step 3: Cross multiply
    418.76x = 578.07 × 392.52
  4. Step 4: Simplify right side
    418.76x = 226,904.04
  5. Step 5: Solve for x
    x = 226,904.04/418.76
  6. Step 6: Final answer
    x = 541.85

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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.