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Finding the Fourth Proportional to 483.76, 722.70 and 309.04

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Solution

The fourth proportional to 483.76, 722.70 and 309.04 is: 461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 722.70 = 309.04 : x
  2. Step 2: Convert to fraction form
    483.76/722.70 = 309.04/x
  3. Step 3: Cross multiply
    483.76x = 722.70 × 309.04
  4. Step 4: Simplify right side
    483.76x = 223,343.21
  5. Step 5: Solve for x
    x = 223,343.21/483.76
  6. Step 6: Final answer
    x = 461.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.