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Finding the Fourth Proportional to 52.67, 78.62 and 46.60

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Solution

The fourth proportional to 52.67, 78.62 and 46.60 is: 69.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.67 : 78.62 = 46.60 : x
  2. Step 2: Convert to fraction form
    52.67/78.62 = 46.60/x
  3. Step 3: Cross multiply
    52.67x = 78.62 × 46.60
  4. Step 4: Simplify right side
    52.67x = 3,663.69
  5. Step 5: Solve for x
    x = 3,663.69/52.67
  6. Step 6: Final answer
    x = 69.56

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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.