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Finding the Fourth Proportional to 483.70, 725.60 and 288.91

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Solution

The fourth proportional to 483.70, 725.60 and 288.91 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.70 : 725.60 = 288.91 : x
  2. Step 2: Convert to fraction form
    483.70/725.60 = 288.91/x
  3. Step 3: Cross multiply
    483.70x = 725.60 × 288.91
  4. Step 4: Simplify right side
    483.70x = 209,633.10
  5. Step 5: Solve for x
    x = 209,633.10/483.70
  6. Step 6: Final answer
    x = 433.39

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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.