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Finding the Fourth Proportional to 723.65, 1,081.26 and 555.98

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Solution

The fourth proportional to 723.65, 1,081.26 and 555.98 is: 830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.65 : 1,081.26 = 555.98 : x
  2. Step 2: Convert to fraction form
    723.65/1,081.26 = 555.98/x
  3. Step 3: Cross multiply
    723.65x = 1,081.26 × 555.98
  4. Step 4: Simplify right side
    723.65x = 601,153.53
  5. Step 5: Solve for x
    x = 601,153.53/723.65
  6. Step 6: Final answer
    x = 830.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.