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Finding the Fourth Proportional to 689.35, 1,036.08 and 607.34

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Solution

The fourth proportional to 689.35, 1,036.08 and 607.34 is: 912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.35 : 1,036.08 = 607.34 : x
  2. Step 2: Convert to fraction form
    689.35/1,036.08 = 607.34/x
  3. Step 3: Cross multiply
    689.35x = 1,036.08 × 607.34
  4. Step 4: Simplify right side
    689.35x = 629,252.83
  5. Step 5: Solve for x
    x = 629,252.83/689.35
  6. Step 6: Final answer
    x = 912.82

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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.