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Finding the Fourth Proportional to 1,707.75, 2,356.68 and 961.72

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Solution

The fourth proportional to 1,707.75, 2,356.68 and 961.72 is: 1,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.75 : 2,356.68 = 961.72 : x
  2. Step 2: Convert to fraction form
    1,707.75/2,356.68 = 961.72/x
  3. Step 3: Cross multiply
    1,707.75x = 2,356.68 × 961.72
  4. Step 4: Simplify right side
    1,707.75x = 2,266,466.29
  5. Step 5: Solve for x
    x = 2,266,466.29/1,707.75
  6. Step 6: Final answer
    x = 1,327.17

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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.