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Finding the Fourth Proportional to 1,258.80, 1,884.64 and 847.12

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Solution

The fourth proportional to 1,258.80, 1,884.64 and 847.12 is: 1,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.80 : 1,884.64 = 847.12 : x
  2. Step 2: Convert to fraction form
    1,258.80/1,884.64 = 847.12/x
  3. Step 3: Cross multiply
    1,258.80x = 1,884.64 × 847.12
  4. Step 4: Simplify right side
    1,258.80x = 1,596,516.24
  5. Step 5: Solve for x
    x = 1,596,516.24/1,258.80
  6. Step 6: Final answer
    x = 1,268.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.