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Finding the Fourth Proportional to 2,342.40, 3,514.06 and 698.91

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Solution

The fourth proportional to 2,342.40, 3,514.06 and 698.91 is: 1,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.40 : 3,514.06 = 698.91 : x
  2. Step 2: Convert to fraction form
    2,342.40/3,514.06 = 698.91/x
  3. Step 3: Cross multiply
    2,342.40x = 3,514.06 × 698.91
  4. Step 4: Simplify right side
    2,342.40x = 2,456,009.93
  5. Step 5: Solve for x
    x = 2,456,009.93/2,342.40
  6. Step 6: Final answer
    x = 1,048.50

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1.5x scale

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.