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Finding the Fourth Proportional to 745.86, 1,113 and 664.05

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Solution

The fourth proportional to 745.86, 1,113 and 664.05 is: 990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.86 : 1,113 = 664.05 : x
  2. Step 2: Convert to fraction form
    745.86/1,113 = 664.05/x
  3. Step 3: Cross multiply
    745.86x = 1,113 × 664.05
  4. Step 4: Simplify right side
    745.86x = 739,087.65
  5. Step 5: Solve for x
    x = 739,087.65/745.86
  6. Step 6: Final answer
    x = 990.92

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.