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Finding the Fourth Proportional to 904.01, 1,356.09 and 287.80

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Solution

The fourth proportional to 904.01, 1,356.09 and 287.80 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.01 : 1,356.09 = 287.80 : x
  2. Step 2: Convert to fraction form
    904.01/1,356.09 = 287.80/x
  3. Step 3: Cross multiply
    904.01x = 1,356.09 × 287.80
  4. Step 4: Simplify right side
    904.01x = 390,287.48
  5. Step 5: Solve for x
    x = 390,287.48/904.01
  6. Step 6: Final answer
    x = 431.73

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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.