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Finding the Fourth Proportional to 1,050.80, 1,576.20 and 564.08

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Solution

The fourth proportional to 1,050.80, 1,576.20 and 564.08 is: 846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.80 : 1,576.20 = 564.08 : x
  2. Step 2: Convert to fraction form
    1,050.80/1,576.20 = 564.08/x
  3. Step 3: Cross multiply
    1,050.80x = 1,576.20 × 564.08
  4. Step 4: Simplify right side
    1,050.80x = 889,102.90
  5. Step 5: Solve for x
    x = 889,102.90/1,050.80
  6. Step 6: Final answer
    x = 846.12

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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.