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Finding the Fourth Proportional to 1,707.80, 2,561.78 and 978.08

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Solution

The fourth proportional to 1,707.80, 2,561.78 and 978.08 is: 1,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.80 : 2,561.78 = 978.08 : x
  2. Step 2: Convert to fraction form
    1,707.80/2,561.78 = 978.08/x
  3. Step 3: Cross multiply
    1,707.80x = 2,561.78 × 978.08
  4. Step 4: Simplify right side
    1,707.80x = 2,505,615.42
  5. Step 5: Solve for x
    x = 2,505,615.42/1,707.80
  6. Step 6: Final answer
    x = 1,467.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.