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Finding the Fourth Proportional to 677.45, 933.80 and 552.89

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Solution

The fourth proportional to 677.45, 933.80 and 552.89 is: 762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.45 : 933.80 = 552.89 : x
  2. Step 2: Convert to fraction form
    677.45/933.80 = 552.89/x
  3. Step 3: Cross multiply
    677.45x = 933.80 × 552.89
  4. Step 4: Simplify right side
    677.45x = 516,288.25
  5. Step 5: Solve for x
    x = 516,288.25/677.45
  6. Step 6: Final answer
    x = 762.11

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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.