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Finding the Fourth Proportional to 938.51, 1,295.11 and 518.84

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Solution

The fourth proportional to 938.51, 1,295.11 and 518.84 is: 715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.51 : 1,295.11 = 518.84 : x
  2. Step 2: Convert to fraction form
    938.51/1,295.11 = 518.84/x
  3. Step 3: Cross multiply
    938.51x = 1,295.11 × 518.84
  4. Step 4: Simplify right side
    938.51x = 671,954.87
  5. Step 5: Solve for x
    x = 671,954.87/938.51
  6. Step 6: Final answer
    x = 715.98

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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.