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Finding the Fourth Proportional to 674.46, 931.83 and 563.58

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Solution

The fourth proportional to 674.46, 931.83 and 563.58 is: 778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 931.83 = 563.58 : x
  2. Step 2: Convert to fraction form
    674.46/931.83 = 563.58/x
  3. Step 3: Cross multiply
    674.46x = 931.83 × 563.58
  4. Step 4: Simplify right side
    674.46x = 525,160.75
  5. Step 5: Solve for x
    x = 525,160.75/674.46
  6. Step 6: Final answer
    x = 778.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.