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Finding the Fourth Proportional to 520.88, 719.10 and 355.34

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Solution

The fourth proportional to 520.88, 719.10 and 355.34 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.88 : 719.10 = 355.34 : x
  2. Step 2: Convert to fraction form
    520.88/719.10 = 355.34/x
  3. Step 3: Cross multiply
    520.88x = 719.10 × 355.34
  4. Step 4: Simplify right side
    520.88x = 255,524.99
  5. Step 5: Solve for x
    x = 255,524.99/520.88
  6. Step 6: Final answer
    x = 490.56

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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.