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Finding the Fourth Proportional to 689.58, 1,029.30 and 607.56

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Solution

The fourth proportional to 689.58, 1,029.30 and 607.56 is: 906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.58 : 1,029.30 = 607.56 : x
  2. Step 2: Convert to fraction form
    689.58/1,029.30 = 607.56/x
  3. Step 3: Cross multiply
    689.58x = 1,029.30 × 607.56
  4. Step 4: Simplify right side
    689.58x = 625,361.51
  5. Step 5: Solve for x
    x = 625,361.51/689.58
  6. Step 6: Final answer
    x = 906.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.