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Finding the Fourth Proportional to 925.90, 1,277.76 and 553.05

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Solution

The fourth proportional to 925.90, 1,277.76 and 553.05 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.90 : 1,277.76 = 553.05 : x
  2. Step 2: Convert to fraction form
    925.90/1,277.76 = 553.05/x
  3. Step 3: Cross multiply
    925.90x = 1,277.76 × 553.05
  4. Step 4: Simplify right side
    925.90x = 706,665.17
  5. Step 5: Solve for x
    x = 706,665.17/925.90
  6. Step 6: Final answer
    x = 763.22

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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.