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Finding the Fourth Proportional to 1,605.81, 2,215.97 and 976.35

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Solution

The fourth proportional to 1,605.81, 2,215.97 and 976.35 is: 1,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.81 : 2,215.97 = 976.35 : x
  2. Step 2: Convert to fraction form
    1,605.81/2,215.97 = 976.35/x
  3. Step 3: Cross multiply
    1,605.81x = 2,215.97 × 976.35
  4. Step 4: Simplify right side
    1,605.81x = 2,163,574.89
  5. Step 5: Solve for x
    x = 2,163,574.89/1,605.81
  6. Step 6: Final answer
    x = 1,347.34

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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.