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Finding the Fourth Proportional to 457.92, 684.72 and 386.64

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Solution

The fourth proportional to 457.92, 684.72 and 386.64 is: 578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 684.72 = 386.64 : x
  2. Step 2: Convert to fraction form
    457.92/684.72 = 386.64/x
  3. Step 3: Cross multiply
    457.92x = 684.72 × 386.64
  4. Step 4: Simplify right side
    457.92x = 264,740.14
  5. Step 5: Solve for x
    x = 264,740.14/457.92
  6. Step 6: Final answer
    x = 578.14

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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.