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Finding the Fourth Proportional to 2,322.45, 3,484.17 and 678.87

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Solution

The fourth proportional to 2,322.45, 3,484.17 and 678.87 is: 1,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.45 : 3,484.17 = 678.87 : x
  2. Step 2: Convert to fraction form
    2,322.45/3,484.17 = 678.87/x
  3. Step 3: Cross multiply
    2,322.45x = 3,484.17 × 678.87
  4. Step 4: Simplify right side
    2,322.45x = 2,365,298.49
  5. Step 5: Solve for x
    x = 2,365,298.49/2,322.45
  6. Step 6: Final answer
    x = 1,018.45

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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.