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Finding the Fourth Proportional to 520.44, 780.10 and 260.06

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Solution

The fourth proportional to 520.44, 780.10 and 260.06 is: 389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 780.10 = 260.06 : x
  2. Step 2: Convert to fraction form
    520.44/780.10 = 260.06/x
  3. Step 3: Cross multiply
    520.44x = 780.10 × 260.06
  4. Step 4: Simplify right side
    520.44x = 202,872.81
  5. Step 5: Solve for x
    x = 202,872.81/520.44
  6. Step 6: Final answer
    x = 389.81

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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.