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Finding the Fourth Proportional to 62.18, 85.70 and 46.64

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Solution

The fourth proportional to 62.18, 85.70 and 46.64 is: 64.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.18 : 85.70 = 46.64 : x
  2. Step 2: Convert to fraction form
    62.18/85.70 = 46.64/x
  3. Step 3: Cross multiply
    62.18x = 85.70 × 46.64
  4. Step 4: Simplify right side
    62.18x = 3,997.05
  5. Step 5: Solve for x
    x = 3,997.05/62.18
  6. Step 6: Final answer
    x = 64.28

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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.