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Finding the Fourth Proportional to 940.86, 1,405.04 and 930.69

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Solution

The fourth proportional to 940.86, 1,405.04 and 930.69 is: 1,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.86 : 1,405.04 = 930.69 : x
  2. Step 2: Convert to fraction form
    940.86/1,405.04 = 930.69/x
  3. Step 3: Cross multiply
    940.86x = 1,405.04 × 930.69
  4. Step 4: Simplify right side
    940.86x = 1,307,652.02
  5. Step 5: Solve for x
    x = 1,307,652.02/940.86
  6. Step 6: Final answer
    x = 1,389.85

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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.