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Finding the Fourth Proportional to 324.57, 483.74 and 324.07

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Solution

The fourth proportional to 324.57, 483.74 and 324.07 is: 482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.57 : 483.74 = 324.07 : x
  2. Step 2: Convert to fraction form
    324.57/483.74 = 324.07/x
  3. Step 3: Cross multiply
    324.57x = 483.74 × 324.07
  4. Step 4: Simplify right side
    324.57x = 156,762.79
  5. Step 5: Solve for x
    x = 156,762.79/324.57
  6. Step 6: Final answer
    x = 482.99

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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.