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Finding the Fourth Proportional to 62.39, 85.70 and 51.46

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Solution

The fourth proportional to 62.39, 85.70 and 51.46 is: 70.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.39 : 85.70 = 51.46 : x
  2. Step 2: Convert to fraction form
    62.39/85.70 = 51.46/x
  3. Step 3: Cross multiply
    62.39x = 85.70 × 51.46
  4. Step 4: Simplify right side
    62.39x = 4,410.04
  5. Step 5: Solve for x
    x = 4,410.04/62.39
  6. Step 6: Final answer
    x = 70.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.