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Finding the Fourth Proportional to 852.77, 1,279.16 and 564.14

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Solution

The fourth proportional to 852.77, 1,279.16 and 564.14 is: 846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.77 : 1,279.16 = 564.14 : x
  2. Step 2: Convert to fraction form
    852.77/1,279.16 = 564.14/x
  3. Step 3: Cross multiply
    852.77x = 1,279.16 × 564.14
  4. Step 4: Simplify right side
    852.77x = 721,616.11
  5. Step 5: Solve for x
    x = 721,616.11/852.77
  6. Step 6: Final answer
    x = 846.21

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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.