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Finding the Fourth Proportional to 922.77, 1,385.49 and 577.56

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Solution

The fourth proportional to 922.77, 1,385.49 and 577.56 is: 867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.77 : 1,385.49 = 577.56 : x
  2. Step 2: Convert to fraction form
    922.77/1,385.49 = 577.56/x
  3. Step 3: Cross multiply
    922.77x = 1,385.49 × 577.56
  4. Step 4: Simplify right side
    922.77x = 800,203.60
  5. Step 5: Solve for x
    x = 800,203.60/922.77
  6. Step 6: Final answer
    x = 867.18

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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.