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Finding the Fourth Proportional to 830.80, 1,245.58 and 716.59

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Solution

The fourth proportional to 830.80, 1,245.58 and 716.59 is: 1,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.80 : 1,245.58 = 716.59 : x
  2. Step 2: Convert to fraction form
    830.80/1,245.58 = 716.59/x
  3. Step 3: Cross multiply
    830.80x = 1,245.58 × 716.59
  4. Step 4: Simplify right side
    830.80x = 892,570.17
  5. Step 5: Solve for x
    x = 892,570.17/830.80
  6. Step 6: Final answer
    x = 1,074.35

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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.