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Finding the Fourth Proportional to 925.96, 1,390.42 and 706.64

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Solution

The fourth proportional to 925.96, 1,390.42 and 706.64 is: 1,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.96 : 1,390.42 = 706.64 : x
  2. Step 2: Convert to fraction form
    925.96/1,390.42 = 706.64/x
  3. Step 3: Cross multiply
    925.96x = 1,390.42 × 706.64
  4. Step 4: Simplify right side
    925.96x = 982,526.39
  5. Step 5: Solve for x
    x = 982,526.39/925.96
  6. Step 6: Final answer
    x = 1,061.09

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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.