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Finding the Fourth Proportional to 418.65, 623.10 and 414.60

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Solution

The fourth proportional to 418.65, 623.10 and 414.60 is: 617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.65 : 623.10 = 414.60 : x
  2. Step 2: Convert to fraction form
    418.65/623.10 = 414.60/x
  3. Step 3: Cross multiply
    418.65x = 623.10 × 414.60
  4. Step 4: Simplify right side
    418.65x = 258,337.26
  5. Step 5: Solve for x
    x = 258,337.26/418.65
  6. Step 6: Final answer
    x = 617.07

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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.