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Finding the Fourth Proportional to 1,294.32, 1,784.96 and 851.45

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Solution

The fourth proportional to 1,294.32, 1,784.96 and 851.45 is: 1,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.32 : 1,784.96 = 851.45 : x
  2. Step 2: Convert to fraction form
    1,294.32/1,784.96 = 851.45/x
  3. Step 3: Cross multiply
    1,294.32x = 1,784.96 × 851.45
  4. Step 4: Simplify right side
    1,294.32x = 1,519,804.40
  5. Step 5: Solve for x
    x = 1,519,804.40/1,294.32
  6. Step 6: Final answer
    x = 1,174.21

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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.