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Finding the Fourth Proportional to 483.40, 721.62 and 410.48

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Solution

The fourth proportional to 483.40, 721.62 and 410.48 is: 612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.40 : 721.62 = 410.48 : x
  2. Step 2: Convert to fraction form
    483.40/721.62 = 410.48/x
  3. Step 3: Cross multiply
    483.40x = 721.62 × 410.48
  4. Step 4: Simplify right side
    483.40x = 296,210.58
  5. Step 5: Solve for x
    x = 296,210.58/483.40
  6. Step 6: Final answer
    x = 612.76

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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.