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Finding the Fourth Proportional to 56.76, 77.85 and 53.65

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Solution

The fourth proportional to 56.76, 77.85 and 53.65 is: 73.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.76 : 77.85 = 53.65 : x
  2. Step 2: Convert to fraction form
    56.76/77.85 = 53.65/x
  3. Step 3: Cross multiply
    56.76x = 77.85 × 53.65
  4. Step 4: Simplify right side
    56.76x = 4,176.65
  5. Step 5: Solve for x
    x = 4,176.65/56.76
  6. Step 6: Final answer
    x = 73.58

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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.