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Finding the Fourth Proportional to 418.32, 624.71 and 360.72

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Solution

The fourth proportional to 418.32, 624.71 and 360.72 is: 538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 624.71 = 360.72 : x
  2. Step 2: Convert to fraction form
    418.32/624.71 = 360.72/x
  3. Step 3: Cross multiply
    418.32x = 624.71 × 360.72
  4. Step 4: Simplify right side
    418.32x = 225,346.29
  5. Step 5: Solve for x
    x = 225,346.29/418.32
  6. Step 6: Final answer
    x = 538.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.