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Finding the Fourth Proportional to 1,210.64, 1,817.04 and 481.64

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Solution

The fourth proportional to 1,210.64, 1,817.04 and 481.64 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.64 : 1,817.04 = 481.64 : x
  2. Step 2: Convert to fraction form
    1,210.64/1,817.04 = 481.64/x
  3. Step 3: Cross multiply
    1,210.64x = 1,817.04 × 481.64
  4. Step 4: Simplify right side
    1,210.64x = 875,159.15
  5. Step 5: Solve for x
    x = 875,159.15/1,210.64
  6. Step 6: Final answer
    x = 722.89

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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.