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Finding the Fourth Proportional to 438.16, 657.44 and 417.48

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Solution

The fourth proportional to 438.16, 657.44 and 417.48 is: 626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.16 : 657.44 = 417.48 : x
  2. Step 2: Convert to fraction form
    438.16/657.44 = 417.48/x
  3. Step 3: Cross multiply
    438.16x = 657.44 × 417.48
  4. Step 4: Simplify right side
    438.16x = 274,468.05
  5. Step 5: Solve for x
    x = 274,468.05/438.16
  6. Step 6: Final answer
    x = 626.41

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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.