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Finding the Fourth Proportional to 1,652.31, 2,478.72 and 556.43

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Solution

The fourth proportional to 1,652.31, 2,478.72 and 556.43 is: 834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.31 : 2,478.72 = 556.43 : x
  2. Step 2: Convert to fraction form
    1,652.31/2,478.72 = 556.43/x
  3. Step 3: Cross multiply
    1,652.31x = 2,478.72 × 556.43
  4. Step 4: Simplify right side
    1,652.31x = 1,379,221.78
  5. Step 5: Solve for x
    x = 1,379,221.78/1,652.31
  6. Step 6: Final answer
    x = 834.72

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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.