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Finding the Fourth Proportional to 695.35, 1,038.01 and 644.68

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Solution

The fourth proportional to 695.35, 1,038.01 and 644.68 is: 962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.35 : 1,038.01 = 644.68 : x
  2. Step 2: Convert to fraction form
    695.35/1,038.01 = 644.68/x
  3. Step 3: Cross multiply
    695.35x = 1,038.01 × 644.68
  4. Step 4: Simplify right side
    695.35x = 669,181.06
  5. Step 5: Solve for x
    x = 669,181.06/695.35
  6. Step 6: Final answer
    x = 962.37

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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.