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Finding the Fourth Proportional to 680.82, 1,019.86 and 526.21

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Solution

The fourth proportional to 680.82, 1,019.86 and 526.21 is: 788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.82 : 1,019.86 = 526.21 : x
  2. Step 2: Convert to fraction form
    680.82/1,019.86 = 526.21/x
  3. Step 3: Cross multiply
    680.82x = 1,019.86 × 526.21
  4. Step 4: Simplify right side
    680.82x = 536,656.67
  5. Step 5: Solve for x
    x = 536,656.67/680.82
  6. Step 6: Final answer
    x = 788.25

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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.