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Finding the Fourth Proportional to 1,050.89, 1,576.42 and 434.48

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Solution

The fourth proportional to 1,050.89, 1,576.42 and 434.48 is: 651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.89 : 1,576.42 = 434.48 : x
  2. Step 2: Convert to fraction form
    1,050.89/1,576.42 = 434.48/x
  3. Step 3: Cross multiply
    1,050.89x = 1,576.42 × 434.48
  4. Step 4: Simplify right side
    1,050.89x = 684,922.96
  5. Step 5: Solve for x
    x = 684,922.96/1,050.89
  6. Step 6: Final answer
    x = 651.76

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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.