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Finding the Fourth Proportional to 618.51, 931.42 and 538.32

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Solution

The fourth proportional to 618.51, 931.42 and 538.32 is: 810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.51 : 931.42 = 538.32 : x
  2. Step 2: Convert to fraction form
    618.51/931.42 = 538.32/x
  3. Step 3: Cross multiply
    618.51x = 931.42 × 538.32
  4. Step 4: Simplify right side
    618.51x = 501,402.01
  5. Step 5: Solve for x
    x = 501,402.01/618.51
  6. Step 6: Final answer
    x = 810.66

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Why These Related Problems?

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