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Finding the Fourth Proportional to 414.90, 623.70 and 390.60

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Solution

The fourth proportional to 414.90, 623.70 and 390.60 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 623.70 = 390.60 : x
  2. Step 2: Convert to fraction form
    414.90/623.70 = 390.60/x
  3. Step 3: Cross multiply
    414.90x = 623.70 × 390.60
  4. Step 4: Simplify right side
    414.90x = 243,617.22
  5. Step 5: Solve for x
    x = 243,617.22/414.90
  6. Step 6: Final answer
    x = 587.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.