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Finding the Fourth Proportional to 520.80, 780.72 and 232.08

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Solution

The fourth proportional to 520.80, 780.72 and 232.08 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.80 : 780.72 = 232.08 : x
  2. Step 2: Convert to fraction form
    520.80/780.72 = 232.08/x
  3. Step 3: Cross multiply
    520.80x = 780.72 × 232.08
  4. Step 4: Simplify right side
    520.80x = 181,189.50
  5. Step 5: Solve for x
    x = 181,189.50/520.80
  6. Step 6: Final answer
    x = 347.91

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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.