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Finding the Fourth Proportional to 689.95, 1,035.74 and 638.92

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Solution

The fourth proportional to 689.95, 1,035.74 and 638.92 is: 959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 1,035.74 = 638.92 : x
  2. Step 2: Convert to fraction form
    689.95/1,035.74 = 638.92/x
  3. Step 3: Cross multiply
    689.95x = 1,035.74 × 638.92
  4. Step 4: Simplify right side
    689.95x = 661,755.00
  5. Step 5: Solve for x
    x = 661,755.00/689.95
  6. Step 6: Final answer
    x = 959.13

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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.