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Finding the Fourth Proportional to 723.23, 998.55 and 554.89

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Solution

The fourth proportional to 723.23, 998.55 and 554.89 is: 766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.23 : 998.55 = 554.89 : x
  2. Step 2: Convert to fraction form
    723.23/998.55 = 554.89/x
  3. Step 3: Cross multiply
    723.23x = 998.55 × 554.89
  4. Step 4: Simplify right side
    723.23x = 554,080.42
  5. Step 5: Solve for x
    x = 554,080.42/723.23
  6. Step 6: Final answer
    x = 766.12

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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.