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Finding the Fourth Proportional to 2,303.34, 3,454.99 and 659.89

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Solution

The fourth proportional to 2,303.34, 3,454.99 and 659.89 is: 989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.34 : 3,454.99 = 659.89 : x
  2. Step 2: Convert to fraction form
    2,303.34/3,454.99 = 659.89/x
  3. Step 3: Cross multiply
    2,303.34x = 3,454.99 × 659.89
  4. Step 4: Simplify right side
    2,303.34x = 2,279,894.43
  5. Step 5: Solve for x
    x = 2,279,894.43/2,303.34
  6. Step 6: Final answer
    x = 989.82

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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.