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Finding the Fourth Proportional to 830.77, 1,246.44 and 830.77

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Solution

The fourth proportional to 830.77, 1,246.44 and 830.77 is: 1,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.77 : 1,246.44 = 830.77 : x
  2. Step 2: Convert to fraction form
    830.77/1,246.44 = 830.77/x
  3. Step 3: Cross multiply
    830.77x = 1,246.44 × 830.77
  4. Step 4: Simplify right side
    830.77x = 1,035,504.96
  5. Step 5: Solve for x
    x = 1,035,504.96/830.77
  6. Step 6: Final answer
    x = 1,246.44

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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.