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Finding the Fourth Proportional to 522.43, 720.93 and 345.18

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Solution

The fourth proportional to 522.43, 720.93 and 345.18 is: 476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.43 : 720.93 = 345.18 : x
  2. Step 2: Convert to fraction form
    522.43/720.93 = 345.18/x
  3. Step 3: Cross multiply
    522.43x = 720.93 × 345.18
  4. Step 4: Simplify right side
    522.43x = 248,847.01
  5. Step 5: Solve for x
    x = 248,847.01/522.43
  6. Step 6: Final answer
    x = 476.33

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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.