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Finding the Fourth Proportional to 906.86, 1,357.05 and 785.54

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Solution

The fourth proportional to 906.86, 1,357.05 and 785.54 is: 1,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.86 : 1,357.05 = 785.54 : x
  2. Step 2: Convert to fraction form
    906.86/1,357.05 = 785.54/x
  3. Step 3: Cross multiply
    906.86x = 1,357.05 × 785.54
  4. Step 4: Simplify right side
    906.86x = 1,066,017.06
  5. Step 5: Solve for x
    x = 1,066,017.06/906.86
  6. Step 6: Final answer
    x = 1,175.50

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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.