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Finding the Fourth Proportional to 418.61, 623.48 and 396.65

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Solution

The fourth proportional to 418.61, 623.48 and 396.65 is: 590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 623.48 = 396.65 : x
  2. Step 2: Convert to fraction form
    418.61/623.48 = 396.65/x
  3. Step 3: Cross multiply
    418.61x = 623.48 × 396.65
  4. Step 4: Simplify right side
    418.61x = 247,303.34
  5. Step 5: Solve for x
    x = 247,303.34/418.61
  6. Step 6: Final answer
    x = 590.77

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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.