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Finding the Fourth Proportional to 677.07, 933.69 and 411.55

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Solution

The fourth proportional to 677.07, 933.69 and 411.55 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.07 : 933.69 = 411.55 : x
  2. Step 2: Convert to fraction form
    677.07/933.69 = 411.55/x
  3. Step 3: Cross multiply
    677.07x = 933.69 × 411.55
  4. Step 4: Simplify right side
    677.07x = 384,259.33
  5. Step 5: Solve for x
    x = 384,259.33/677.07
  6. Step 6: Final answer
    x = 567.53

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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.