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Finding the Fourth Proportional to 942.76, 1,405.93 and 837.86

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Solution

The fourth proportional to 942.76, 1,405.93 and 837.86 is: 1,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.76 : 1,405.93 = 837.86 : x
  2. Step 2: Convert to fraction form
    942.76/1,405.93 = 837.86/x
  3. Step 3: Cross multiply
    942.76x = 1,405.93 × 837.86
  4. Step 4: Simplify right side
    942.76x = 1,177,973.93
  5. Step 5: Solve for x
    x = 1,177,973.93/942.76
  6. Step 6: Final answer
    x = 1,249.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.