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Finding the Fourth Proportional to 522.57, 720.90 and 345.49

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Solution

The fourth proportional to 522.57, 720.90 and 345.49 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 720.90 = 345.49 : x
  2. Step 2: Convert to fraction form
    522.57/720.90 = 345.49/x
  3. Step 3: Cross multiply
    522.57x = 720.90 × 345.49
  4. Step 4: Simplify right side
    522.57x = 249,063.74
  5. Step 5: Solve for x
    x = 249,063.74/522.57
  6. Step 6: Final answer
    x = 476.61

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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.