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Finding the Fourth Proportional to 745.63, 1,029.54 and 466.27

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Solution

The fourth proportional to 745.63, 1,029.54 and 466.27 is: 643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.63 : 1,029.54 = 466.27 : x
  2. Step 2: Convert to fraction form
    745.63/1,029.54 = 466.27/x
  3. Step 3: Cross multiply
    745.63x = 1,029.54 × 466.27
  4. Step 4: Simplify right side
    745.63x = 480,043.62
  5. Step 5: Solve for x
    x = 480,043.62/745.63
  6. Step 6: Final answer
    x = 643.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.