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Finding the Fourth Proportional to 46.85, 70.54 and 45.43

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Solution

The fourth proportional to 46.85, 70.54 and 45.43 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.85 : 70.54 = 45.43 : x
  2. Step 2: Convert to fraction form
    46.85/70.54 = 45.43/x
  3. Step 3: Cross multiply
    46.85x = 70.54 × 45.43
  4. Step 4: Simplify right side
    46.85x = 3,204.34
  5. Step 5: Solve for x
    x = 3,204.34/46.85
  6. Step 6: Final answer
    x = 68.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.