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Finding the Fourth Proportional to 520.13, 780.29 and 263.63

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Solution

The fourth proportional to 520.13, 780.29 and 263.63 is: 395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 780.29 = 263.63 : x
  2. Step 2: Convert to fraction form
    520.13/780.29 = 263.63/x
  3. Step 3: Cross multiply
    520.13x = 780.29 × 263.63
  4. Step 4: Simplify right side
    520.13x = 205,702.63
  5. Step 5: Solve for x
    x = 205,702.63/520.13
  6. Step 6: Final answer
    x = 395.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.