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Finding the Fourth Proportional to 417.26, 623.32 and 409.16

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Solution

The fourth proportional to 417.26, 623.32 and 409.16 is: 611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.26 : 623.32 = 409.16 : x
  2. Step 2: Convert to fraction form
    417.26/623.32 = 409.16/x
  3. Step 3: Cross multiply
    417.26x = 623.32 × 409.16
  4. Step 4: Simplify right side
    417.26x = 255,037.61
  5. Step 5: Solve for x
    x = 255,037.61/417.26
  6. Step 6: Final answer
    x = 611.22

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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.