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Finding the Fourth Proportional to 879.02, 1,212.22 and 564.38

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Solution

The fourth proportional to 879.02, 1,212.22 and 564.38 is: 778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.02 : 1,212.22 = 564.38 : x
  2. Step 2: Convert to fraction form
    879.02/1,212.22 = 564.38/x
  3. Step 3: Cross multiply
    879.02x = 1,212.22 × 564.38
  4. Step 4: Simplify right side
    879.02x = 684,157.17
  5. Step 5: Solve for x
    x = 684,157.17/879.02
  6. Step 6: Final answer
    x = 778.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.