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Finding the Fourth Proportional to 59.65, 82.12 and 56.23

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Solution

The fourth proportional to 59.65, 82.12 and 56.23 is: 77.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.65 : 82.12 = 56.23 : x
  2. Step 2: Convert to fraction form
    59.65/82.12 = 56.23/x
  3. Step 3: Cross multiply
    59.65x = 82.12 × 56.23
  4. Step 4: Simplify right side
    59.65x = 4,617.52
  5. Step 5: Solve for x
    x = 4,617.52/59.65
  6. Step 6: Final answer
    x = 77.41

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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.