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Finding the Fourth Proportional to 416.87, 624.61 and 294.91

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Solution

The fourth proportional to 416.87, 624.61 and 294.91 is: 441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.87 : 624.61 = 294.91 : x
  2. Step 2: Convert to fraction form
    416.87/624.61 = 294.91/x
  3. Step 3: Cross multiply
    416.87x = 624.61 × 294.91
  4. Step 4: Simplify right side
    416.87x = 184,203.74
  5. Step 5: Solve for x
    x = 184,203.74/416.87
  6. Step 6: Final answer
    x = 441.87

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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.