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Finding the Fourth Proportional to 1,050.05, 1,576.29 and 564.05

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Solution

The fourth proportional to 1,050.05, 1,576.29 and 564.05 is: 846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.05 : 1,576.29 = 564.05 : x
  2. Step 2: Convert to fraction form
    1,050.05/1,576.29 = 564.05/x
  3. Step 3: Cross multiply
    1,050.05x = 1,576.29 × 564.05
  4. Step 4: Simplify right side
    1,050.05x = 889,098.49
  5. Step 5: Solve for x
    x = 889,098.49/1,050.05
  6. Step 6: Final answer
    x = 846.72

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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.