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Finding the Fourth Proportional to 1,230.64, 1,698.64 and 811.30

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Solution

The fourth proportional to 1,230.64, 1,698.64 and 811.30 is: 1,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.64 : 1,698.64 = 811.30 : x
  2. Step 2: Convert to fraction form
    1,230.64/1,698.64 = 811.30/x
  3. Step 3: Cross multiply
    1,230.64x = 1,698.64 × 811.30
  4. Step 4: Simplify right side
    1,230.64x = 1,378,106.63
  5. Step 5: Solve for x
    x = 1,378,106.63/1,230.64
  6. Step 6: Final answer
    x = 1,119.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.