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Finding the Fourth Proportional to 2,322.29, 3,483.50 and 678.66

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Solution

The fourth proportional to 2,322.29, 3,483.50 and 678.66 is: 1,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.29 : 3,483.50 = 678.66 : x
  2. Step 2: Convert to fraction form
    2,322.29/3,483.50 = 678.66/x
  3. Step 3: Cross multiply
    2,322.29x = 3,483.50 × 678.66
  4. Step 4: Simplify right side
    2,322.29x = 2,364,112.11
  5. Step 5: Solve for x
    x = 2,364,112.11/2,322.29
  6. Step 6: Final answer
    x = 1,018.01

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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.