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Finding the Fourth Proportional to 685.80, 947.22 and 546.39

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Solution

The fourth proportional to 685.80, 947.22 and 546.39 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.80 : 947.22 = 546.39 : x
  2. Step 2: Convert to fraction form
    685.80/947.22 = 546.39/x
  3. Step 3: Cross multiply
    685.80x = 947.22 × 546.39
  4. Step 4: Simplify right side
    685.80x = 517,551.54
  5. Step 5: Solve for x
    x = 517,551.54/685.80
  6. Step 6: Final answer
    x = 754.67

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1.5x scale

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.