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Finding the Fourth Proportional to 932.94, 1,285.83 and 683.73

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Solution

The fourth proportional to 932.94, 1,285.83 and 683.73 is: 942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.94 : 1,285.83 = 683.73 : x
  2. Step 2: Convert to fraction form
    932.94/1,285.83 = 683.73/x
  3. Step 3: Cross multiply
    932.94x = 1,285.83 × 683.73
  4. Step 4: Simplify right side
    932.94x = 879,160.55
  5. Step 5: Solve for x
    x = 879,160.55/932.94
  6. Step 6: Final answer
    x = 942.35

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1.5x scale

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.