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Finding the Fourth Proportional to 520.37, 717.78 and 310.40

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Solution

The fourth proportional to 520.37, 717.78 and 310.40 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.37 : 717.78 = 310.40 : x
  2. Step 2: Convert to fraction form
    520.37/717.78 = 310.40/x
  3. Step 3: Cross multiply
    520.37x = 717.78 × 310.40
  4. Step 4: Simplify right side
    520.37x = 222,795.32
  5. Step 5: Solve for x
    x = 222,795.32/520.37
  6. Step 6: Final answer
    x = 428.15

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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.