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Finding the Fourth Proportional to 456.84, 689.31 and 436.86

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Solution

The fourth proportional to 456.84, 689.31 and 436.86 is: 659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 689.31 = 436.86 : x
  2. Step 2: Convert to fraction form
    456.84/689.31 = 436.86/x
  3. Step 3: Cross multiply
    456.84x = 689.31 × 436.86
  4. Step 4: Simplify right side
    456.84x = 301,131.97
  5. Step 5: Solve for x
    x = 301,131.97/456.84
  6. Step 6: Final answer
    x = 659.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.