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Finding the Fourth Proportional to 662.16, 914.24 and 400.64

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Solution

The fourth proportional to 662.16, 914.24 and 400.64 is: 553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 914.24 = 400.64 : x
  2. Step 2: Convert to fraction form
    662.16/914.24 = 400.64/x
  3. Step 3: Cross multiply
    662.16x = 914.24 × 400.64
  4. Step 4: Simplify right side
    662.16x = 366,274.54
  5. Step 5: Solve for x
    x = 366,274.54/662.16
  6. Step 6: Final answer
    x = 553.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.