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Finding the Fourth Proportional to 416.10, 619.86 and 403.35

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Solution

The fourth proportional to 416.10, 619.86 and 403.35 is: 600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 619.86 = 403.35 : x
  2. Step 2: Convert to fraction form
    416.10/619.86 = 403.35/x
  3. Step 3: Cross multiply
    416.10x = 619.86 × 403.35
  4. Step 4: Simplify right side
    416.10x = 250,020.53
  5. Step 5: Solve for x
    x = 250,020.53/416.10
  6. Step 6: Final answer
    x = 600.87

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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.