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Finding the Fourth Proportional to 622.36, 856.56 and 577.63

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Solution

The fourth proportional to 622.36, 856.56 and 577.63 is: 795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.36 : 856.56 = 577.63 : x
  2. Step 2: Convert to fraction form
    622.36/856.56 = 577.63/x
  3. Step 3: Cross multiply
    622.36x = 856.56 × 577.63
  4. Step 4: Simplify right side
    622.36x = 494,774.75
  5. Step 5: Solve for x
    x = 494,774.75/622.36
  6. Step 6: Final answer
    x = 795.00

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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.