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Finding the Fourth Proportional to 616.36, 921.78 and 558.94

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Solution

The fourth proportional to 616.36, 921.78 and 558.94 is: 835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 921.78 = 558.94 : x
  2. Step 2: Convert to fraction form
    616.36/921.78 = 558.94/x
  3. Step 3: Cross multiply
    616.36x = 921.78 × 558.94
  4. Step 4: Simplify right side
    616.36x = 515,219.71
  5. Step 5: Solve for x
    x = 515,219.71/616.36
  6. Step 6: Final answer
    x = 835.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.