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Finding the Fourth Proportional to 723.94, 998.79 and 590.93

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Solution

The fourth proportional to 723.94, 998.79 and 590.93 is: 815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 998.79 = 590.93 : x
  2. Step 2: Convert to fraction form
    723.94/998.79 = 590.93/x
  3. Step 3: Cross multiply
    723.94x = 998.79 × 590.93
  4. Step 4: Simplify right side
    723.94x = 590,214.97
  5. Step 5: Solve for x
    x = 590,214.97/723.94
  6. Step 6: Final answer
    x = 815.28

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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.