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Finding the Fourth Proportional to 983.78, 1,357.17 and 669.55

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Solution

The fourth proportional to 983.78, 1,357.17 and 669.55 is: 923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.78 : 1,357.17 = 669.55 : x
  2. Step 2: Convert to fraction form
    983.78/1,357.17 = 669.55/x
  3. Step 3: Cross multiply
    983.78x = 1,357.17 × 669.55
  4. Step 4: Simplify right side
    983.78x = 908,693.17
  5. Step 5: Solve for x
    x = 908,693.17/983.78
  6. Step 6: Final answer
    x = 923.68

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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.