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Finding the Fourth Proportional to 456.86, 685.40 and 456.26

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Solution

The fourth proportional to 456.86, 685.40 and 456.26 is: 684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 685.40 = 456.26 : x
  2. Step 2: Convert to fraction form
    456.86/685.40 = 456.26/x
  3. Step 3: Cross multiply
    456.86x = 685.40 × 456.26
  4. Step 4: Simplify right side
    456.86x = 312,714.90
  5. Step 5: Solve for x
    x = 312,714.90/456.86
  6. Step 6: Final answer
    x = 684.48

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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.