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Finding the Fourth Proportional to 1,294.06, 1,783.72 and 874.28

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Solution

The fourth proportional to 1,294.06, 1,783.72 and 874.28 is: 1,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.06 : 1,783.72 = 874.28 : x
  2. Step 2: Convert to fraction form
    1,294.06/1,783.72 = 874.28/x
  3. Step 3: Cross multiply
    1,294.06x = 1,783.72 × 874.28
  4. Step 4: Simplify right side
    1,294.06x = 1,559,457.43
  5. Step 5: Solve for x
    x = 1,559,457.43/1,294.06
  6. Step 6: Final answer
    x = 1,205.09

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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.