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Finding the Fourth Proportional to 902.07, 1,353.63 and 389.07

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Solution

The fourth proportional to 902.07, 1,353.63 and 389.07 is: 583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.07 : 1,353.63 = 389.07 : x
  2. Step 2: Convert to fraction form
    902.07/1,353.63 = 389.07/x
  3. Step 3: Cross multiply
    902.07x = 1,353.63 × 389.07
  4. Step 4: Simplify right side
    902.07x = 526,656.82
  5. Step 5: Solve for x
    x = 526,656.82/902.07
  6. Step 6: Final answer
    x = 583.83

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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.