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Finding the Fourth Proportional to 666.84, 998.90 and 610.84

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Solution

The fourth proportional to 666.84, 998.90 and 610.84 is: 915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 998.90 = 610.84 : x
  2. Step 2: Convert to fraction form
    666.84/998.90 = 610.84/x
  3. Step 3: Cross multiply
    666.84x = 998.90 × 610.84
  4. Step 4: Simplify right side
    666.84x = 610,168.08
  5. Step 5: Solve for x
    x = 610,168.08/666.84
  6. Step 6: Final answer
    x = 915.01

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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.