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Finding the Fourth Proportional to 662.02, 912.84 and 452.32

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Solution

The fourth proportional to 662.02, 912.84 and 452.32 is: 623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 912.84 = 452.32 : x
  2. Step 2: Convert to fraction form
    662.02/912.84 = 452.32/x
  3. Step 3: Cross multiply
    662.02x = 912.84 × 452.32
  4. Step 4: Simplify right side
    662.02x = 412,895.79
  5. Step 5: Solve for x
    x = 412,895.79/662.02
  6. Step 6: Final answer
    x = 623.69

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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.