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Finding the Fourth Proportional to 655.18, 981.75 and 423.88

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Solution

The fourth proportional to 655.18, 981.75 and 423.88 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.18 : 981.75 = 423.88 : x
  2. Step 2: Convert to fraction form
    655.18/981.75 = 423.88/x
  3. Step 3: Cross multiply
    655.18x = 981.75 × 423.88
  4. Step 4: Simplify right side
    655.18x = 416,144.19
  5. Step 5: Solve for x
    x = 416,144.19/655.18
  6. Step 6: Final answer
    x = 635.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.