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Finding the Fourth Proportional to 904.36, 1,355.61 and 411.11

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Solution

The fourth proportional to 904.36, 1,355.61 and 411.11 is: 616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.36 : 1,355.61 = 411.11 : x
  2. Step 2: Convert to fraction form
    904.36/1,355.61 = 411.11/x
  3. Step 3: Cross multiply
    904.36x = 1,355.61 × 411.11
  4. Step 4: Simplify right side
    904.36x = 557,301.33
  5. Step 5: Solve for x
    x = 557,301.33/904.36
  6. Step 6: Final answer
    x = 616.24

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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.