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Finding the Fourth Proportional to 917.73, 1,258.74 and 852.12

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Solution

The fourth proportional to 917.73, 1,258.74 and 852.12 is: 1,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.73 : 1,258.74 = 852.12 : x
  2. Step 2: Convert to fraction form
    917.73/1,258.74 = 852.12/x
  3. Step 3: Cross multiply
    917.73x = 1,258.74 × 852.12
  4. Step 4: Simplify right side
    917.73x = 1,072,597.53
  5. Step 5: Solve for x
    x = 1,072,597.53/917.73
  6. Step 6: Final answer
    x = 1,168.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.