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Finding the Fourth Proportional to 745.94, 1,029.51 and 484.71

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Solution

The fourth proportional to 745.94, 1,029.51 and 484.71 is: 668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.94 : 1,029.51 = 484.71 : x
  2. Step 2: Convert to fraction form
    745.94/1,029.51 = 484.71/x
  3. Step 3: Cross multiply
    745.94x = 1,029.51 × 484.71
  4. Step 4: Simplify right side
    745.94x = 499,013.79
  5. Step 5: Solve for x
    x = 499,013.79/745.94
  6. Step 6: Final answer
    x = 668.97

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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.