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Finding the Fourth Proportional to 483.19, 727.70 and 429.03

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Solution

The fourth proportional to 483.19, 727.70 and 429.03 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.19 : 727.70 = 429.03 : x
  2. Step 2: Convert to fraction form
    483.19/727.70 = 429.03/x
  3. Step 3: Cross multiply
    483.19x = 727.70 × 429.03
  4. Step 4: Simplify right side
    483.19x = 312,202.99
  5. Step 5: Solve for x
    x = 312,202.99/483.19
  6. Step 6: Final answer
    x = 646.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.