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Finding the Fourth Proportional to 1,562.78, 2,343.82 and 522.54

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Solution

The fourth proportional to 1,562.78, 2,343.82 and 522.54 is: 783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.78 : 2,343.82 = 522.54 : x
  2. Step 2: Convert to fraction form
    1,562.78/2,343.82 = 522.54/x
  3. Step 3: Cross multiply
    1,562.78x = 2,343.82 × 522.54
  4. Step 4: Simplify right side
    1,562.78x = 1,224,739.70
  5. Step 5: Solve for x
    x = 1,224,739.70/1,562.78
  6. Step 6: Final answer
    x = 783.69

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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.