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Finding the Fourth Proportional to 689.58, 957.35 and 669.53

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Solution

The fourth proportional to 689.58, 957.35 and 669.53 is: 929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.58 : 957.35 = 669.53 : x
  2. Step 2: Convert to fraction form
    689.58/957.35 = 669.53/x
  3. Step 3: Cross multiply
    689.58x = 957.35 × 669.53
  4. Step 4: Simplify right side
    689.58x = 640,978.61
  5. Step 5: Solve for x
    x = 640,978.61/689.58
  6. Step 6: Final answer
    x = 929.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.