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Finding the Fourth Proportional to 416.93, 623.57 and 340.38

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Solution

The fourth proportional to 416.93, 623.57 and 340.38 is: 509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.93 : 623.57 = 340.38 : x
  2. Step 2: Convert to fraction form
    416.93/623.57 = 340.38/x
  3. Step 3: Cross multiply
    416.93x = 623.57 × 340.38
  4. Step 4: Simplify right side
    416.93x = 212,249.05
  5. Step 5: Solve for x
    x = 212,249.05/416.93
  6. Step 6: Final answer
    x = 509.08

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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.