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Finding the Fourth Proportional to 931.51, 1,285.17 and 538.39

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Solution

The fourth proportional to 931.51, 1,285.17 and 538.39 is: 742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.51 : 1,285.17 = 538.39 : x
  2. Step 2: Convert to fraction form
    931.51/1,285.17 = 538.39/x
  3. Step 3: Cross multiply
    931.51x = 1,285.17 × 538.39
  4. Step 4: Simplify right side
    931.51x = 691,922.68
  5. Step 5: Solve for x
    x = 691,922.68/931.51
  6. Step 6: Final answer
    x = 742.80

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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.