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Finding the Fourth Proportional to 618.18, 931.75 and 584.77

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Solution

The fourth proportional to 618.18, 931.75 and 584.77 is: 881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.18 : 931.75 = 584.77 : x
  2. Step 2: Convert to fraction form
    618.18/931.75 = 584.77/x
  3. Step 3: Cross multiply
    618.18x = 931.75 × 584.77
  4. Step 4: Simplify right side
    618.18x = 544,860.69
  5. Step 5: Solve for x
    x = 544,860.69/618.18
  6. Step 6: Final answer
    x = 881.39

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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.