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Finding the Fourth Proportional to 47.60, 70.92 and 45

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Solution

The fourth proportional to 47.60, 70.92 and 45 is: 67.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.60 : 70.92 = 45 : x
  2. Step 2: Convert to fraction form
    47.60/70.92 = 45/x
  3. Step 3: Cross multiply
    47.60x = 70.92 × 45
  4. Step 4: Simplify right side
    47.60x = 3,191.40
  5. Step 5: Solve for x
    x = 3,191.40/47.60
  6. Step 6: Final answer
    x = 67.05

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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.