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Finding the Fourth Proportional to 456.61, 684.92 and 388.03

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Solution

The fourth proportional to 456.61, 684.92 and 388.03 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.61 : 684.92 = 388.03 : x
  2. Step 2: Convert to fraction form
    456.61/684.92 = 388.03/x
  3. Step 3: Cross multiply
    456.61x = 684.92 × 388.03
  4. Step 4: Simplify right side
    456.61x = 265,767.57
  5. Step 5: Solve for x
    x = 265,767.57/456.61
  6. Step 6: Final answer
    x = 582.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.