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Finding the Fourth Proportional to 520.78, 719.42 and 416.56

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Solution

The fourth proportional to 520.78, 719.42 and 416.56 is: 575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 719.42 = 416.56 : x
  2. Step 2: Convert to fraction form
    520.78/719.42 = 416.56/x
  3. Step 3: Cross multiply
    520.78x = 719.42 × 416.56
  4. Step 4: Simplify right side
    520.78x = 299,679.51
  5. Step 5: Solve for x
    x = 299,679.51/520.78
  6. Step 6: Final answer
    x = 575.44

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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.