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Finding the Fourth Proportional to 472.66, 704.67 and 460.67

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Solution

The fourth proportional to 472.66, 704.67 and 460.67 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.66 : 704.67 = 460.67 : x
  2. Step 2: Convert to fraction form
    472.66/704.67 = 460.67/x
  3. Step 3: Cross multiply
    472.66x = 704.67 × 460.67
  4. Step 4: Simplify right side
    472.66x = 324,617.42
  5. Step 5: Solve for x
    x = 324,617.42/472.66
  6. Step 6: Final answer
    x = 686.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.