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Finding the Fourth Proportional to 931.05, 1,284.96 and 538.06

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Solution

The fourth proportional to 931.05, 1,284.96 and 538.06 is: 742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,284.96 = 538.06 : x
  2. Step 2: Convert to fraction form
    931.05/1,284.96 = 538.06/x
  3. Step 3: Cross multiply
    931.05x = 1,284.96 × 538.06
  4. Step 4: Simplify right side
    931.05x = 691,385.58
  5. Step 5: Solve for x
    x = 691,385.58/931.05
  6. Step 6: Final answer
    x = 742.59

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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.