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Finding the Fourth Proportional to 703.92, 972.36 and 699.06

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Solution

The fourth proportional to 703.92, 972.36 and 699.06 is: 965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.92 : 972.36 = 699.06 : x
  2. Step 2: Convert to fraction form
    703.92/972.36 = 699.06/x
  3. Step 3: Cross multiply
    703.92x = 972.36 × 699.06
  4. Step 4: Simplify right side
    703.92x = 679,737.98
  5. Step 5: Solve for x
    x = 679,737.98/703.92
  6. Step 6: Final answer
    x = 965.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.