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Finding the Fourth Proportional to 893.18, 1,233.08 and 561.68

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Solution

The fourth proportional to 893.18, 1,233.08 and 561.68 is: 775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.18 : 1,233.08 = 561.68 : x
  2. Step 2: Convert to fraction form
    893.18/1,233.08 = 561.68/x
  3. Step 3: Cross multiply
    893.18x = 1,233.08 × 561.68
  4. Step 4: Simplify right side
    893.18x = 692,596.37
  5. Step 5: Solve for x
    x = 692,596.37/893.18
  6. Step 6: Final answer
    x = 775.43

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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.