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Finding the Fourth Proportional to 1,562.78, 2,344.80 and 783.56

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Solution

The fourth proportional to 1,562.78, 2,344.80 and 783.56 is: 1,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.78 : 2,344.80 = 783.56 : x
  2. Step 2: Convert to fraction form
    1,562.78/2,344.80 = 783.56/x
  3. Step 3: Cross multiply
    1,562.78x = 2,344.80 × 783.56
  4. Step 4: Simplify right side
    1,562.78x = 1,837,291.49
  5. Step 5: Solve for x
    x = 1,837,291.49/1,562.78
  6. Step 6: Final answer
    x = 1,175.66

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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.