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Finding the Fourth Proportional to 1,050.75, 1,576.44 and 465.90

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Solution

The fourth proportional to 1,050.75, 1,576.44 and 465.90 is: 698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.75 : 1,576.44 = 465.90 : x
  2. Step 2: Convert to fraction form
    1,050.75/1,576.44 = 465.90/x
  3. Step 3: Cross multiply
    1,050.75x = 1,576.44 × 465.90
  4. Step 4: Simplify right side
    1,050.75x = 734,463.40
  5. Step 5: Solve for x
    x = 734,463.40/1,050.75
  6. Step 6: Final answer
    x = 698.99

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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.