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Finding the Fourth Proportional to 713.53, 988.49 and 696.52

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Solution

The fourth proportional to 713.53, 988.49 and 696.52 is: 964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 988.49 = 696.52 : x
  2. Step 2: Convert to fraction form
    713.53/988.49 = 696.52/x
  3. Step 3: Cross multiply
    713.53x = 988.49 × 696.52
  4. Step 4: Simplify right side
    713.53x = 688,503.05
  5. Step 5: Solve for x
    x = 688,503.05/713.53
  6. Step 6: Final answer
    x = 964.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.