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Finding the Fourth Proportional to 677.45, 933.77 and 559.19

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Solution

The fourth proportional to 677.45, 933.77 and 559.19 is: 770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.45 : 933.77 = 559.19 : x
  2. Step 2: Convert to fraction form
    677.45/933.77 = 559.19/x
  3. Step 3: Cross multiply
    677.45x = 933.77 × 559.19
  4. Step 4: Simplify right side
    677.45x = 522,147.38
  5. Step 5: Solve for x
    x = 522,147.38/677.45
  6. Step 6: Final answer
    x = 770.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.