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Finding the Fourth Proportional to 56.63, 77.69 and 53.53

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Solution

The fourth proportional to 56.63, 77.69 and 53.53 is: 73.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.63 : 77.69 = 53.53 : x
  2. Step 2: Convert to fraction form
    56.63/77.69 = 53.53/x
  3. Step 3: Cross multiply
    56.63x = 77.69 × 53.53
  4. Step 4: Simplify right side
    56.63x = 4,158.36
  5. Step 5: Solve for x
    x = 4,158.36/56.63
  6. Step 6: Final answer
    x = 73.43

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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.