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Finding the Fourth Proportional to 655.53, 978.71 and 563.85

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Solution

The fourth proportional to 655.53, 978.71 and 563.85 is: 841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.53 : 978.71 = 563.85 : x
  2. Step 2: Convert to fraction form
    655.53/978.71 = 563.85/x
  3. Step 3: Cross multiply
    655.53x = 978.71 × 563.85
  4. Step 4: Simplify right side
    655.53x = 551,847.04
  5. Step 5: Solve for x
    x = 551,847.04/655.53
  6. Step 6: Final answer
    x = 841.83

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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.