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Finding the Fourth Proportional to 830.10, 1,243.35 and 812.10

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Solution

The fourth proportional to 830.10, 1,243.35 and 812.10 is: 1,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,243.35 = 812.10 : x
  2. Step 2: Convert to fraction form
    830.10/1,243.35 = 812.10/x
  3. Step 3: Cross multiply
    830.10x = 1,243.35 × 812.10
  4. Step 4: Simplify right side
    830.10x = 1,009,724.54
  5. Step 5: Solve for x
    x = 1,009,724.54/830.10
  6. Step 6: Final answer
    x = 1,216.39

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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.