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Finding the Fourth Proportional to 472.66, 709.26 and 407.86

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Solution

The fourth proportional to 472.66, 709.26 and 407.86 is: 612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.66 : 709.26 = 407.86 : x
  2. Step 2: Convert to fraction form
    472.66/709.26 = 407.86/x
  3. Step 3: Cross multiply
    472.66x = 709.26 × 407.86
  4. Step 4: Simplify right side
    472.66x = 289,278.78
  5. Step 5: Solve for x
    x = 289,278.78/472.66
  6. Step 6: Final answer
    x = 612.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.