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Finding the Fourth Proportional to 1,290.77, 1,936.38 and 470.19

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Solution

The fourth proportional to 1,290.77, 1,936.38 and 470.19 is: 705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.77 : 1,936.38 = 470.19 : x
  2. Step 2: Convert to fraction form
    1,290.77/1,936.38 = 470.19/x
  3. Step 3: Cross multiply
    1,290.77x = 1,936.38 × 470.19
  4. Step 4: Simplify right side
    1,290.77x = 910,466.51
  5. Step 5: Solve for x
    x = 910,466.51/1,290.77
  6. Step 6: Final answer
    x = 705.37

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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.