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Finding the Fourth Proportional to 723.89, 998.70 and 590.87

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Solution

The fourth proportional to 723.89, 998.70 and 590.87 is: 815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.89 : 998.70 = 590.87 : x
  2. Step 2: Convert to fraction form
    723.89/998.70 = 590.87/x
  3. Step 3: Cross multiply
    723.89x = 998.70 × 590.87
  4. Step 4: Simplify right side
    723.89x = 590,096.88
  5. Step 5: Solve for x
    x = 590,096.88/723.89
  6. Step 6: Final answer
    x = 815.18

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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.