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Finding the Fourth Proportional to 1,707.07, 2,355.99 and 961.18

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Solution

The fourth proportional to 1,707.07, 2,355.99 and 961.18 is: 1,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.07 : 2,355.99 = 961.18 : x
  2. Step 2: Convert to fraction form
    1,707.07/2,355.99 = 961.18/x
  3. Step 3: Cross multiply
    1,707.07x = 2,355.99 × 961.18
  4. Step 4: Simplify right side
    1,707.07x = 2,264,520.97
  5. Step 5: Solve for x
    x = 2,264,520.97/1,707.07
  6. Step 6: Final answer
    x = 1,326.55

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1.5x scale

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.