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Finding the Fourth Proportional to 956.78, 1,432.86 and 544.67

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Solution

The fourth proportional to 956.78, 1,432.86 and 544.67 is: 815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.78 : 1,432.86 = 544.67 : x
  2. Step 2: Convert to fraction form
    956.78/1,432.86 = 544.67/x
  3. Step 3: Cross multiply
    956.78x = 1,432.86 × 544.67
  4. Step 4: Simplify right side
    956.78x = 780,425.97
  5. Step 5: Solve for x
    x = 780,425.97/956.78
  6. Step 6: Final answer
    x = 815.68

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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.