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Finding the Fourth Proportional to 723.94, 998.40 and 584

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Solution

The fourth proportional to 723.94, 998.40 and 584 is: 805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 998.40 = 584 : x
  2. Step 2: Convert to fraction form
    723.94/998.40 = 584/x
  3. Step 3: Cross multiply
    723.94x = 998.40 × 584
  4. Step 4: Simplify right side
    723.94x = 583,065.60
  5. Step 5: Solve for x
    x = 583,065.60/723.94
  6. Step 6: Final answer
    x = 805.41

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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.