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Finding the Fourth Proportional to 62.20, 85.74 and 46.72

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Solution

The fourth proportional to 62.20, 85.74 and 46.72 is: 64.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.20 : 85.74 = 46.72 : x
  2. Step 2: Convert to fraction form
    62.20/85.74 = 46.72/x
  3. Step 3: Cross multiply
    62.20x = 85.74 × 46.72
  4. Step 4: Simplify right side
    62.20x = 4,005.77
  5. Step 5: Solve for x
    x = 4,005.77/62.20
  6. Step 6: Final answer
    x = 64.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.