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Finding the Fourth Proportional to 1,050.84, 1,576.37 and 401.57

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Solution

The fourth proportional to 1,050.84, 1,576.37 and 401.57 is: 602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.84 : 1,576.37 = 401.57 : x
  2. Step 2: Convert to fraction form
    1,050.84/1,576.37 = 401.57/x
  3. Step 3: Cross multiply
    1,050.84x = 1,576.37 × 401.57
  4. Step 4: Simplify right side
    1,050.84x = 633,022.90
  5. Step 5: Solve for x
    x = 633,022.90/1,050.84
  6. Step 6: Final answer
    x = 602.40

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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.