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Finding the Fourth Proportional to 1,734.85, 2,393.79 and 978.58

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Solution

The fourth proportional to 1,734.85, 2,393.79 and 978.58 is: 1,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.85 : 2,393.79 = 978.58 : x
  2. Step 2: Convert to fraction form
    1,734.85/2,393.79 = 978.58/x
  3. Step 3: Cross multiply
    1,734.85x = 2,393.79 × 978.58
  4. Step 4: Simplify right side
    1,734.85x = 2,342,514.34
  5. Step 5: Solve for x
    x = 2,342,514.34/1,734.85
  6. Step 6: Final answer
    x = 1,350.27

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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.