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Finding the Fourth Proportional to 677.36, 1,014.62 and 514.55

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Solution

The fourth proportional to 677.36, 1,014.62 and 514.55 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.36 : 1,014.62 = 514.55 : x
  2. Step 2: Convert to fraction form
    677.36/1,014.62 = 514.55/x
  3. Step 3: Cross multiply
    677.36x = 1,014.62 × 514.55
  4. Step 4: Simplify right side
    677.36x = 522,065.08
  5. Step 5: Solve for x
    x = 522,065.08/677.36
  6. Step 6: Final answer
    x = 770.74

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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.