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Finding the Fourth Proportional to 983.64, 1,357.77 and 669.30

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Solution

The fourth proportional to 983.64, 1,357.77 and 669.30 is: 923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.64 : 1,357.77 = 669.30 : x
  2. Step 2: Convert to fraction form
    983.64/1,357.77 = 669.30/x
  3. Step 3: Cross multiply
    983.64x = 1,357.77 × 669.30
  4. Step 4: Simplify right side
    983.64x = 908,755.46
  5. Step 5: Solve for x
    x = 908,755.46/983.64
  6. Step 6: Final answer
    x = 923.87

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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.