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Finding the Fourth Proportional to 473.21, 708.51 and 384.85

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Solution

The fourth proportional to 473.21, 708.51 and 384.85 is: 576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.21 : 708.51 = 384.85 : x
  2. Step 2: Convert to fraction form
    473.21/708.51 = 384.85/x
  3. Step 3: Cross multiply
    473.21x = 708.51 × 384.85
  4. Step 4: Simplify right side
    473.21x = 272,672.40
  5. Step 5: Solve for x
    x = 272,672.40/473.21
  6. Step 6: Final answer
    x = 576.22

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Why These Related Problems?

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