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Finding the Fourth Proportional to 665.84, 999.27 and 461.83

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Solution

The fourth proportional to 665.84, 999.27 and 461.83 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 999.27 = 461.83 : x
  2. Step 2: Convert to fraction form
    665.84/999.27 = 461.83/x
  3. Step 3: Cross multiply
    665.84x = 999.27 × 461.83
  4. Step 4: Simplify right side
    665.84x = 461,492.86
  5. Step 5: Solve for x
    x = 461,492.86/665.84
  6. Step 6: Final answer
    x = 693.10

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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.