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Finding the Fourth Proportional to 940.01, 1,406.94 and 693.11

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Solution

The fourth proportional to 940.01, 1,406.94 and 693.11 is: 1,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.01 : 1,406.94 = 693.11 : x
  2. Step 2: Convert to fraction form
    940.01/1,406.94 = 693.11/x
  3. Step 3: Cross multiply
    940.01x = 1,406.94 × 693.11
  4. Step 4: Simplify right side
    940.01x = 975,157.15
  5. Step 5: Solve for x
    x = 975,157.15/940.01
  6. Step 6: Final answer
    x = 1,037.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.