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Finding the Fourth Proportional to 933.70, 1,289.06 and 829.90

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Solution

The fourth proportional to 933.70, 1,289.06 and 829.90 is: 1,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.70 : 1,289.06 = 829.90 : x
  2. Step 2: Convert to fraction form
    933.70/1,289.06 = 829.90/x
  3. Step 3: Cross multiply
    933.70x = 1,289.06 × 829.90
  4. Step 4: Simplify right side
    933.70x = 1,069,790.89
  5. Step 5: Solve for x
    x = 1,069,790.89/933.70
  6. Step 6: Final answer
    x = 1,145.75

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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.