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Finding the Fourth Proportional to 1,494.78, 2,242.19 and 520.20

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Solution

The fourth proportional to 1,494.78, 2,242.19 and 520.20 is: 780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.78 : 2,242.19 = 520.20 : x
  2. Step 2: Convert to fraction form
    1,494.78/2,242.19 = 520.20/x
  3. Step 3: Cross multiply
    1,494.78x = 2,242.19 × 520.20
  4. Step 4: Simplify right side
    1,494.78x = 1,166,384.64
  5. Step 5: Solve for x
    x = 1,166,384.64/1,494.78
  6. Step 6: Final answer
    x = 780.31

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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.