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Finding the Fourth Proportional to 926.11, 1,277.77 and 552.93

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Solution

The fourth proportional to 926.11, 1,277.77 and 552.93 is: 762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.11 : 1,277.77 = 552.93 : x
  2. Step 2: Convert to fraction form
    926.11/1,277.77 = 552.93/x
  3. Step 3: Cross multiply
    926.11x = 1,277.77 × 552.93
  4. Step 4: Simplify right side
    926.11x = 706,517.37
  5. Step 5: Solve for x
    x = 706,517.37/926.11
  6. Step 6: Final answer
    x = 762.89

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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.