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Finding the Fourth Proportional to 689.63, 953.48 and 659.03

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Solution

The fourth proportional to 689.63, 953.48 and 659.03 is: 911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.63 : 953.48 = 659.03 : x
  2. Step 2: Convert to fraction form
    689.63/953.48 = 659.03/x
  3. Step 3: Cross multiply
    689.63x = 953.48 × 659.03
  4. Step 4: Simplify right side
    689.63x = 628,368.80
  5. Step 5: Solve for x
    x = 628,368.80/689.63
  6. Step 6: Final answer
    x = 911.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.