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Finding the Fourth Proportional to 622.68, 933.09 and 577.13

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Solution

The fourth proportional to 622.68, 933.09 and 577.13 is: 864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.68 : 933.09 = 577.13 : x
  2. Step 2: Convert to fraction form
    622.68/933.09 = 577.13/x
  3. Step 3: Cross multiply
    622.68x = 933.09 × 577.13
  4. Step 4: Simplify right side
    622.68x = 538,509.57
  5. Step 5: Solve for x
    x = 538,509.57/622.68
  6. Step 6: Final answer
    x = 864.83

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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.