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Finding the Fourth Proportional to 1,707.13, 2,355.25 and 998.86

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Solution

The fourth proportional to 1,707.13, 2,355.25 and 998.86 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.13 : 2,355.25 = 998.86 : x
  2. Step 2: Convert to fraction form
    1,707.13/2,355.25 = 998.86/x
  3. Step 3: Cross multiply
    1,707.13x = 2,355.25 × 998.86
  4. Step 4: Simplify right side
    1,707.13x = 2,352,565.02
  5. Step 5: Solve for x
    x = 2,352,565.02/1,707.13
  6. Step 6: Final answer
    x = 1,378.08

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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.