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Finding the Fourth Proportional to 469.86, 651.45 and 441.93

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Solution

The fourth proportional to 469.86, 651.45 and 441.93 is: 612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.86 : 651.45 = 441.93 : x
  2. Step 2: Convert to fraction form
    469.86/651.45 = 441.93/x
  3. Step 3: Cross multiply
    469.86x = 651.45 × 441.93
  4. Step 4: Simplify right side
    469.86x = 287,895.30
  5. Step 5: Solve for x
    x = 287,895.30/469.86
  6. Step 6: Final answer
    x = 612.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.