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Finding the Fourth Proportional to 483.86, 666.38 and 421.66

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Solution

The fourth proportional to 483.86, 666.38 and 421.66 is: 580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.86 : 666.38 = 421.66 : x
  2. Step 2: Convert to fraction form
    483.86/666.38 = 421.66/x
  3. Step 3: Cross multiply
    483.86x = 666.38 × 421.66
  4. Step 4: Simplify right side
    483.86x = 280,985.79
  5. Step 5: Solve for x
    x = 280,985.79/483.86
  6. Step 6: Final answer
    x = 580.72

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Why These Related Problems?

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