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Finding the Fourth Proportional to 804.55, 1,206.88 and 342.28

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Solution

The fourth proportional to 804.55, 1,206.88 and 342.28 is: 513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.55 : 1,206.88 = 342.28 : x
  2. Step 2: Convert to fraction form
    804.55/1,206.88 = 342.28/x
  3. Step 3: Cross multiply
    804.55x = 1,206.88 × 342.28
  4. Step 4: Simplify right side
    804.55x = 413,090.89
  5. Step 5: Solve for x
    x = 413,090.89/804.55
  6. Step 6: Final answer
    x = 513.44

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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.