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Finding the Fourth Proportional to 704.49, 972.60 and 483.76

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Solution

The fourth proportional to 704.49, 972.60 and 483.76 is: 667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.49 : 972.60 = 483.76 : x
  2. Step 2: Convert to fraction form
    704.49/972.60 = 483.76/x
  3. Step 3: Cross multiply
    704.49x = 972.60 × 483.76
  4. Step 4: Simplify right side
    704.49x = 470,504.98
  5. Step 5: Solve for x
    x = 470,504.98/704.49
  6. Step 6: Final answer
    x = 667.87

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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.