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Finding the Fourth Proportional to 704.70, 972.09 and 483.39

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Solution

The fourth proportional to 704.70, 972.09 and 483.39 is: 666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.70 : 972.09 = 483.39 : x
  2. Step 2: Convert to fraction form
    704.70/972.09 = 483.39/x
  3. Step 3: Cross multiply
    704.70x = 972.09 × 483.39
  4. Step 4: Simplify right side
    704.70x = 469,898.59
  5. Step 5: Solve for x
    x = 469,898.59/704.70
  6. Step 6: Final answer
    x = 666.81

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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.