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Finding the Fourth Proportional to 1,300.32, 1,949.64 and 866.64

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Solution

The fourth proportional to 1,300.32, 1,949.64 and 866.64 is: 1,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.32 : 1,949.64 = 866.64 : x
  2. Step 2: Convert to fraction form
    1,300.32/1,949.64 = 866.64/x
  3. Step 3: Cross multiply
    1,300.32x = 1,949.64 × 866.64
  4. Step 4: Simplify right side
    1,300.32x = 1,689,636.01
  5. Step 5: Solve for x
    x = 1,689,636.01/1,300.32
  6. Step 6: Final answer
    x = 1,299.40

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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.