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Finding the Fourth Proportional to 2,218.48, 3,326.70 and 657.92

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Solution

The fourth proportional to 2,218.48, 3,326.70 and 657.92 is: 986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.48 : 3,326.70 = 657.92 : x
  2. Step 2: Convert to fraction form
    2,218.48/3,326.70 = 657.92/x
  3. Step 3: Cross multiply
    2,218.48x = 3,326.70 × 657.92
  4. Step 4: Simplify right side
    2,218.48x = 2,188,702.46
  5. Step 5: Solve for x
    x = 2,188,702.46/2,218.48
  6. Step 6: Final answer
    x = 986.58

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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.