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Finding the Fourth Proportional to 745.93, 1,029.90 and 466.22

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Solution

The fourth proportional to 745.93, 1,029.90 and 466.22 is: 643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.93 : 1,029.90 = 466.22 : x
  2. Step 2: Convert to fraction form
    745.93/1,029.90 = 466.22/x
  3. Step 3: Cross multiply
    745.93x = 1,029.90 × 466.22
  4. Step 4: Simplify right side
    745.93x = 480,159.98
  5. Step 5: Solve for x
    x = 480,159.98/745.93
  6. Step 6: Final answer
    x = 643.71

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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.