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Finding the Fourth Proportional to 616.95, 855.27 and 585.36

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Solution

The fourth proportional to 616.95, 855.27 and 585.36 is: 811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 855.27 = 585.36 : x
  2. Step 2: Convert to fraction form
    616.95/855.27 = 585.36/x
  3. Step 3: Cross multiply
    616.95x = 855.27 × 585.36
  4. Step 4: Simplify right side
    616.95x = 500,640.85
  5. Step 5: Solve for x
    x = 500,640.85/616.95
  6. Step 6: Final answer
    x = 811.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.