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Finding the Fourth Proportional to 483.65, 721.35 and 411.01

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Solution

The fourth proportional to 483.65, 721.35 and 411.01 is: 613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.65 : 721.35 = 411.01 : x
  2. Step 2: Convert to fraction form
    483.65/721.35 = 411.01/x
  3. Step 3: Cross multiply
    483.65x = 721.35 × 411.01
  4. Step 4: Simplify right side
    483.65x = 296,479.10
  5. Step 5: Solve for x
    x = 296,479.10/483.65
  6. Step 6: Final answer
    x = 613.00

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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.