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Finding the Fourth Proportional to 456.48, 683.76 and 342.24

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Solution

The fourth proportional to 456.48, 683.76 and 342.24 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 683.76 = 342.24 : x
  2. Step 2: Convert to fraction form
    456.48/683.76 = 342.24/x
  3. Step 3: Cross multiply
    456.48x = 683.76 × 342.24
  4. Step 4: Simplify right side
    456.48x = 234,010.02
  5. Step 5: Solve for x
    x = 234,010.02/456.48
  6. Step 6: Final answer
    x = 512.64

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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.