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Finding the Fourth Proportional to 2,389.35, 3,583.59 and 657.96

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Solution

The fourth proportional to 2,389.35, 3,583.59 and 657.96 is: 986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.35 : 3,583.59 = 657.96 : x
  2. Step 2: Convert to fraction form
    2,389.35/3,583.59 = 657.96/x
  3. Step 3: Cross multiply
    2,389.35x = 3,583.59 × 657.96
  4. Step 4: Simplify right side
    2,389.35x = 2,357,858.88
  5. Step 5: Solve for x
    x = 2,357,858.88/2,389.35
  6. Step 6: Final answer
    x = 986.82

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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.