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Finding the Fourth Proportional to 417.29, 623.36 and 319.75

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Solution

The fourth proportional to 417.29, 623.36 and 319.75 is: 477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 623.36 = 319.75 : x
  2. Step 2: Convert to fraction form
    417.29/623.36 = 319.75/x
  3. Step 3: Cross multiply
    417.29x = 623.36 × 319.75
  4. Step 4: Simplify right side
    417.29x = 199,318.60
  5. Step 5: Solve for x
    x = 199,318.60/417.29
  6. Step 6: Final answer
    x = 477.66

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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.