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Finding the Fourth Proportional to 437.18, 652.27 and 416.54

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Solution

The fourth proportional to 437.18, 652.27 and 416.54 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.18 : 652.27 = 416.54 : x
  2. Step 2: Convert to fraction form
    437.18/652.27 = 416.54/x
  3. Step 3: Cross multiply
    437.18x = 652.27 × 416.54
  4. Step 4: Simplify right side
    437.18x = 271,696.55
  5. Step 5: Solve for x
    x = 271,696.55/437.18
  6. Step 6: Final answer
    x = 621.48

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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.