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Finding the Fourth Proportional to 906.65, 1,357.54 and 745.05

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Solution

The fourth proportional to 906.65, 1,357.54 and 745.05 is: 1,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.65 : 1,357.54 = 745.05 : x
  2. Step 2: Convert to fraction form
    906.65/1,357.54 = 745.05/x
  3. Step 3: Cross multiply
    906.65x = 1,357.54 × 745.05
  4. Step 4: Simplify right side
    906.65x = 1,011,435.18
  5. Step 5: Solve for x
    x = 1,011,435.18/906.65
  6. Step 6: Final answer
    x = 1,115.57

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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.