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Finding the Fourth Proportional to 940.04, 1,403.48 and 829.30

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Solution

The fourth proportional to 940.04, 1,403.48 and 829.30 is: 1,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.04 : 1,403.48 = 829.30 : x
  2. Step 2: Convert to fraction form
    940.04/1,403.48 = 829.30/x
  3. Step 3: Cross multiply
    940.04x = 1,403.48 × 829.30
  4. Step 4: Simplify right side
    940.04x = 1,163,905.96
  5. Step 5: Solve for x
    x = 1,163,905.96/940.04
  6. Step 6: Final answer
    x = 1,238.15

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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.