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Finding the Fourth Proportional to 618.26, 931.05 and 538.07

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Solution

The fourth proportional to 618.26, 931.05 and 538.07 is: 810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.26 : 931.05 = 538.07 : x
  2. Step 2: Convert to fraction form
    618.26/931.05 = 538.07/x
  3. Step 3: Cross multiply
    618.26x = 931.05 × 538.07
  4. Step 4: Simplify right side
    618.26x = 500,965.42
  5. Step 5: Solve for x
    x = 500,965.42/618.26
  6. Step 6: Final answer
    x = 810.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.