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Finding the Fourth Proportional to 57.40, 78.86 and 46.45

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Solution

The fourth proportional to 57.40, 78.86 and 46.45 is: 63.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.40 : 78.86 = 46.45 : x
  2. Step 2: Convert to fraction form
    57.40/78.86 = 46.45/x
  3. Step 3: Cross multiply
    57.40x = 78.86 × 46.45
  4. Step 4: Simplify right side
    57.40x = 3,663.05
  5. Step 5: Solve for x
    x = 3,663.05/57.40
  6. Step 6: Final answer
    x = 63.82

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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.