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Finding the Fourth Proportional to 811.84, 1,118.56 and 616

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Solution

The fourth proportional to 811.84, 1,118.56 and 616 is: 848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.84 : 1,118.56 = 616 : x
  2. Step 2: Convert to fraction form
    811.84/1,118.56 = 616/x
  3. Step 3: Cross multiply
    811.84x = 1,118.56 × 616
  4. Step 4: Simplify right side
    811.84x = 689,032.96
  5. Step 5: Solve for x
    x = 689,032.96/811.84
  6. Step 6: Final answer
    x = 848.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.