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Finding the Fourth Proportional to 520.79, 719.03 and 402.56

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Solution

The fourth proportional to 520.79, 719.03 and 402.56 is: 555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.79 : 719.03 = 402.56 : x
  2. Step 2: Convert to fraction form
    520.79/719.03 = 402.56/x
  3. Step 3: Cross multiply
    520.79x = 719.03 × 402.56
  4. Step 4: Simplify right side
    520.79x = 289,447.11
  5. Step 5: Solve for x
    x = 289,447.11/520.79
  6. Step 6: Final answer
    x = 555.79

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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.