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Finding the Fourth Proportional to 475.86, 717.44 and 469.72

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Solution

The fourth proportional to 475.86, 717.44 and 469.72 is: 708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.86 : 717.44 = 469.72 : x
  2. Step 2: Convert to fraction form
    475.86/717.44 = 469.72/x
  3. Step 3: Cross multiply
    475.86x = 717.44 × 469.72
  4. Step 4: Simplify right side
    475.86x = 336,995.92
  5. Step 5: Solve for x
    x = 336,995.92/475.86
  6. Step 6: Final answer
    x = 708.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.