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Finding the Fourth Proportional to 942.21, 1,300.56 and 610.38

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Solution

The fourth proportional to 942.21, 1,300.56 and 610.38 is: 842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.21 : 1,300.56 = 610.38 : x
  2. Step 2: Convert to fraction form
    942.21/1,300.56 = 610.38/x
  3. Step 3: Cross multiply
    942.21x = 1,300.56 × 610.38
  4. Step 4: Simplify right side
    942.21x = 793,835.81
  5. Step 5: Solve for x
    x = 793,835.81/942.21
  6. Step 6: Final answer
    x = 842.53

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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.