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Finding the Fourth Proportional to 1,052.82, 1,577.82 and 566.22

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Solution

The fourth proportional to 1,052.82, 1,577.82 and 566.22 is: 848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.82 : 1,577.82 = 566.22 : x
  2. Step 2: Convert to fraction form
    1,052.82/1,577.82 = 566.22/x
  3. Step 3: Cross multiply
    1,052.82x = 1,577.82 × 566.22
  4. Step 4: Simplify right side
    1,052.82x = 893,393.24
  5. Step 5: Solve for x
    x = 893,393.24/1,052.82
  6. Step 6: Final answer
    x = 848.57

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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.