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Finding the Fourth Proportional to 1,707.66, 2,356.40 and 961.59

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Solution

The fourth proportional to 1,707.66, 2,356.40 and 961.59 is: 1,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.66 : 2,356.40 = 961.59 : x
  2. Step 2: Convert to fraction form
    1,707.66/2,356.40 = 961.59/x
  3. Step 3: Cross multiply
    1,707.66x = 2,356.40 × 961.59
  4. Step 4: Simplify right side
    1,707.66x = 2,265,885.87
  5. Step 5: Solve for x
    x = 2,265,885.87/1,707.66
  6. Step 6: Final answer
    x = 1,326.90

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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.