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Finding the Fourth Proportional to 483.27, 722.93 and 288.26

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Solution

The fourth proportional to 483.27, 722.93 and 288.26 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.27 : 722.93 = 288.26 : x
  2. Step 2: Convert to fraction form
    483.27/722.93 = 288.26/x
  3. Step 3: Cross multiply
    483.27x = 722.93 × 288.26
  4. Step 4: Simplify right side
    483.27x = 208,389.46
  5. Step 5: Solve for x
    x = 208,389.46/483.27
  6. Step 6: Final answer
    x = 431.21

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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.