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Finding the Fourth Proportional to 59.56, 81.77 and 56.93

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Solution

The fourth proportional to 59.56, 81.77 and 56.93 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.56 : 81.77 = 56.93 : x
  2. Step 2: Convert to fraction form
    59.56/81.77 = 56.93/x
  3. Step 3: Cross multiply
    59.56x = 81.77 × 56.93
  4. Step 4: Simplify right side
    59.56x = 4,654.47
  5. Step 5: Solve for x
    x = 4,654.47/59.56
  6. Step 6: Final answer
    x = 78.15

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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.