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Finding the Fourth Proportional to 925.93, 1,277.67 and 646.48

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Solution

The fourth proportional to 925.93, 1,277.67 and 646.48 is: 892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.93 : 1,277.67 = 646.48 : x
  2. Step 2: Convert to fraction form
    925.93/1,277.67 = 646.48/x
  3. Step 3: Cross multiply
    925.93x = 1,277.67 × 646.48
  4. Step 4: Simplify right side
    925.93x = 825,988.10
  5. Step 5: Solve for x
    x = 825,988.10/925.93
  6. Step 6: Final answer
    x = 892.06

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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.