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Finding the Fourth Proportional to 662.19, 912.77 and 522.08

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Solution

The fourth proportional to 662.19, 912.77 and 522.08 is: 719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.19 : 912.77 = 522.08 : x
  2. Step 2: Convert to fraction form
    662.19/912.77 = 522.08/x
  3. Step 3: Cross multiply
    662.19x = 912.77 × 522.08
  4. Step 4: Simplify right side
    662.19x = 476,531.79
  5. Step 5: Solve for x
    x = 476,531.79/662.19
  6. Step 6: Final answer
    x = 719.63

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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.