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Finding the Fourth Proportional to 520.63, 718.76 and 355.09

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Solution

The fourth proportional to 520.63, 718.76 and 355.09 is: 490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.63 : 718.76 = 355.09 : x
  2. Step 2: Convert to fraction form
    520.63/718.76 = 355.09/x
  3. Step 3: Cross multiply
    520.63x = 718.76 × 355.09
  4. Step 4: Simplify right side
    520.63x = 255,220.01
  5. Step 5: Solve for x
    x = 255,220.01/520.63
  6. Step 6: Final answer
    x = 490.21

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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.