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Finding the Fourth Proportional to 940.64, 1,409.10 and 810.63

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Solution

The fourth proportional to 940.64, 1,409.10 and 810.63 is: 1,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.64 : 1,409.10 = 810.63 : x
  2. Step 2: Convert to fraction form
    940.64/1,409.10 = 810.63/x
  3. Step 3: Cross multiply
    940.64x = 1,409.10 × 810.63
  4. Step 4: Simplify right side
    940.64x = 1,142,258.73
  5. Step 5: Solve for x
    x = 1,142,258.73/940.64
  6. Step 6: Final answer
    x = 1,214.35

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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.