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Finding the Fourth Proportional to 713.08, 1,063.81 and 694.99

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Solution

The fourth proportional to 713.08, 1,063.81 and 694.99 is: 1,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.08 : 1,063.81 = 694.99 : x
  2. Step 2: Convert to fraction form
    713.08/1,063.81 = 694.99/x
  3. Step 3: Cross multiply
    713.08x = 1,063.81 × 694.99
  4. Step 4: Simplify right side
    713.08x = 739,333.84
  5. Step 5: Solve for x
    x = 739,333.84/713.08
  6. Step 6: Final answer
    x = 1,036.82

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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.