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Finding the Fourth Proportional to 941.73, 1,298.87 and 835.53

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Solution

The fourth proportional to 941.73, 1,298.87 and 835.53 is: 1,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.73 : 1,298.87 = 835.53 : x
  2. Step 2: Convert to fraction form
    941.73/1,298.87 = 835.53/x
  3. Step 3: Cross multiply
    941.73x = 1,298.87 × 835.53
  4. Step 4: Simplify right side
    941.73x = 1,085,244.85
  5. Step 5: Solve for x
    x = 1,085,244.85/941.73
  6. Step 6: Final answer
    x = 1,152.39

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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.