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Finding the Fourth Proportional to 520.07, 780.14 and 231.53

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Solution

The fourth proportional to 520.07, 780.14 and 231.53 is: 347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.07 : 780.14 = 231.53 : x
  2. Step 2: Convert to fraction form
    520.07/780.14 = 231.53/x
  3. Step 3: Cross multiply
    520.07x = 780.14 × 231.53
  4. Step 4: Simplify right side
    520.07x = 180,624.66
  5. Step 5: Solve for x
    x = 180,624.66/520.07
  6. Step 6: Final answer
    x = 347.31

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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.