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Finding the Fourth Proportional to 893.70, 1,232.92 and 561.60

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Solution

The fourth proportional to 893.70, 1,232.92 and 561.60 is: 774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,232.92 = 561.60 : x
  2. Step 2: Convert to fraction form
    893.70/1,232.92 = 561.60/x
  3. Step 3: Cross multiply
    893.70x = 1,232.92 × 561.60
  4. Step 4: Simplify right side
    893.70x = 692,406.47
  5. Step 5: Solve for x
    x = 692,406.47/893.70
  6. Step 6: Final answer
    x = 774.76

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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.