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Finding the Fourth Proportional to 903.11, 1,353.86 and 415.76

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Solution

The fourth proportional to 903.11, 1,353.86 and 415.76 is: 623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.11 : 1,353.86 = 415.76 : x
  2. Step 2: Convert to fraction form
    903.11/1,353.86 = 415.76/x
  3. Step 3: Cross multiply
    903.11x = 1,353.86 × 415.76
  4. Step 4: Simplify right side
    903.11x = 562,878.75
  5. Step 5: Solve for x
    x = 562,878.75/903.11
  6. Step 6: Final answer
    x = 623.27

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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.