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Finding the Fourth Proportional to 520.88, 719.01 and 346.73

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Solution

The fourth proportional to 520.88, 719.01 and 346.73 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.88 : 719.01 = 346.73 : x
  2. Step 2: Convert to fraction form
    520.88/719.01 = 346.73/x
  3. Step 3: Cross multiply
    520.88x = 719.01 × 346.73
  4. Step 4: Simplify right side
    520.88x = 249,298.74
  5. Step 5: Solve for x
    x = 249,298.74/520.88
  6. Step 6: Final answer
    x = 478.62

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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.