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Finding the Fourth Proportional to 935.06, 1,403.09 and 415.58

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Solution

The fourth proportional to 935.06, 1,403.09 and 415.58 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.06 : 1,403.09 = 415.58 : x
  2. Step 2: Convert to fraction form
    935.06/1,403.09 = 415.58/x
  3. Step 3: Cross multiply
    935.06x = 1,403.09 × 415.58
  4. Step 4: Simplify right side
    935.06x = 583,087.05
  5. Step 5: Solve for x
    x = 583,087.05/935.06
  6. Step 6: Final answer
    x = 623.59

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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.