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Finding the Fourth Proportional to 689.18, 1,032.14 and 640.58

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Solution

The fourth proportional to 689.18, 1,032.14 and 640.58 is: 959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.18 : 1,032.14 = 640.58 : x
  2. Step 2: Convert to fraction form
    689.18/1,032.14 = 640.58/x
  3. Step 3: Cross multiply
    689.18x = 1,032.14 × 640.58
  4. Step 4: Simplify right side
    689.18x = 661,164.68
  5. Step 5: Solve for x
    x = 661,164.68/689.18
  6. Step 6: Final answer
    x = 959.36

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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.