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Finding the Fourth Proportional to 483.15, 721.66 and 414.93

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Solution

The fourth proportional to 483.15, 721.66 and 414.93 is: 619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.15 : 721.66 = 414.93 : x
  2. Step 2: Convert to fraction form
    483.15/721.66 = 414.93/x
  3. Step 3: Cross multiply
    483.15x = 721.66 × 414.93
  4. Step 4: Simplify right side
    483.15x = 299,437.35
  5. Step 5: Solve for x
    x = 299,437.35/483.15
  6. Step 6: Final answer
    x = 619.76

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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.