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Finding the Fourth Proportional to 520.49, 718.39 and 355.10

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Solution

The fourth proportional to 520.49, 718.39 and 355.10 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.49 : 718.39 = 355.10 : x
  2. Step 2: Convert to fraction form
    520.49/718.39 = 355.10/x
  3. Step 3: Cross multiply
    520.49x = 718.39 × 355.10
  4. Step 4: Simplify right side
    520.49x = 255,097.14
  5. Step 5: Solve for x
    x = 255,097.14/520.49
  6. Step 6: Final answer
    x = 490.11

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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.