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Finding the Fourth Proportional to 520.56, 780.57 and 242.87

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Solution

The fourth proportional to 520.56, 780.57 and 242.87 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 780.57 = 242.87 : x
  2. Step 2: Convert to fraction form
    520.56/780.57 = 242.87/x
  3. Step 3: Cross multiply
    520.56x = 780.57 × 242.87
  4. Step 4: Simplify right side
    520.56x = 189,573.13
  5. Step 5: Solve for x
    x = 189,573.13/520.56
  6. Step 6: Final answer
    x = 364.17

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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.