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Finding the Fourth Proportional to 829.03, 1,243.30 and 597.22

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Solution

The fourth proportional to 829.03, 1,243.30 and 597.22 is: 895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.03 : 1,243.30 = 597.22 : x
  2. Step 2: Convert to fraction form
    829.03/1,243.30 = 597.22/x
  3. Step 3: Cross multiply
    829.03x = 1,243.30 × 597.22
  4. Step 4: Simplify right side
    829.03x = 742,522.13
  5. Step 5: Solve for x
    x = 742,522.13/829.03
  6. Step 6: Final answer
    x = 895.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.