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Finding the Fourth Proportional to 931.06, 1,284.93 and 538.21

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Solution

The fourth proportional to 931.06, 1,284.93 and 538.21 is: 742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.06 : 1,284.93 = 538.21 : x
  2. Step 2: Convert to fraction form
    931.06/1,284.93 = 538.21/x
  3. Step 3: Cross multiply
    931.06x = 1,284.93 × 538.21
  4. Step 4: Simplify right side
    931.06x = 691,562.18
  5. Step 5: Solve for x
    x = 691,562.18/931.06
  6. Step 6: Final answer
    x = 742.77

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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.