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Finding the Fourth Proportional to 70.89, 97.77 and 56.31

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Solution

The fourth proportional to 70.89, 97.77 and 56.31 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.89 : 97.77 = 56.31 : x
  2. Step 2: Convert to fraction form
    70.89/97.77 = 56.31/x
  3. Step 3: Cross multiply
    70.89x = 97.77 × 56.31
  4. Step 4: Simplify right side
    70.89x = 5,505.43
  5. Step 5: Solve for x
    x = 5,505.43/70.89
  6. Step 6: Final answer
    x = 77.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.