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Finding the Fourth Proportional to 804.07, 1,206.26 and 317.13

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Solution

The fourth proportional to 804.07, 1,206.26 and 317.13 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.07 : 1,206.26 = 317.13 : x
  2. Step 2: Convert to fraction form
    804.07/1,206.26 = 317.13/x
  3. Step 3: Cross multiply
    804.07x = 1,206.26 × 317.13
  4. Step 4: Simplify right side
    804.07x = 382,536.31
  5. Step 5: Solve for x
    x = 382,536.31/804.07
  6. Step 6: Final answer
    x = 475.75

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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.