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Finding the Fourth Proportional to 646.41, 891.71 and 425.28

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Solution

The fourth proportional to 646.41, 891.71 and 425.28 is: 586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.41 : 891.71 = 425.28 : x
  2. Step 2: Convert to fraction form
    646.41/891.71 = 425.28/x
  3. Step 3: Cross multiply
    646.41x = 891.71 × 425.28
  4. Step 4: Simplify right side
    646.41x = 379,229.24
  5. Step 5: Solve for x
    x = 379,229.24/646.41
  6. Step 6: Final answer
    x = 586.67

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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.