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Finding the Fourth Proportional to 804.10, 1,204.80 and 666.40

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Solution

The fourth proportional to 804.10, 1,204.80 and 666.40 is: 998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.10 : 1,204.80 = 666.40 : x
  2. Step 2: Convert to fraction form
    804.10/1,204.80 = 666.40/x
  3. Step 3: Cross multiply
    804.10x = 1,204.80 × 666.40
  4. Step 4: Simplify right side
    804.10x = 802,878.72
  5. Step 5: Solve for x
    x = 802,878.72/804.10
  6. Step 6: Final answer
    x = 998.48

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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.