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Finding the Fourth Proportional to 1,650.13, 2,475.43 and 554.81

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Solution

The fourth proportional to 1,650.13, 2,475.43 and 554.81 is: 832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.13 : 2,475.43 = 554.81 : x
  2. Step 2: Convert to fraction form
    1,650.13/2,475.43 = 554.81/x
  3. Step 3: Cross multiply
    1,650.13x = 2,475.43 × 554.81
  4. Step 4: Simplify right side
    1,650.13x = 1,373,379.55
  5. Step 5: Solve for x
    x = 1,373,379.55/1,650.13
  6. Step 6: Final answer
    x = 832.29

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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.