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Finding the Fourth Proportional to 696.13, 1,037.80 and 663.33

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Solution

The fourth proportional to 696.13, 1,037.80 and 663.33 is: 988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 1,037.80 = 663.33 : x
  2. Step 2: Convert to fraction form
    696.13/1,037.80 = 663.33/x
  3. Step 3: Cross multiply
    696.13x = 1,037.80 × 663.33
  4. Step 4: Simplify right side
    696.13x = 688,400.37
  5. Step 5: Solve for x
    x = 688,400.37/696.13
  6. Step 6: Final answer
    x = 988.89

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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.