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Finding the Fourth Proportional to 56.70, 77.22 and 56.58

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Solution

The fourth proportional to 56.70, 77.22 and 56.58 is: 77.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.70 : 77.22 = 56.58 : x
  2. Step 2: Convert to fraction form
    56.70/77.22 = 56.58/x
  3. Step 3: Cross multiply
    56.70x = 77.22 × 56.58
  4. Step 4: Simplify right side
    56.70x = 4,369.11
  5. Step 5: Solve for x
    x = 4,369.11/56.70
  6. Step 6: Final answer
    x = 77.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.