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Finding the Fourth Proportional to 56.73, 85.52 and 53.01

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Solution

The fourth proportional to 56.73, 85.52 and 53.01 is: 79.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.73 : 85.52 = 53.01 : x
  2. Step 2: Convert to fraction form
    56.73/85.52 = 53.01/x
  3. Step 3: Cross multiply
    56.73x = 85.52 × 53.01
  4. Step 4: Simplify right side
    56.73x = 4,533.42
  5. Step 5: Solve for x
    x = 4,533.42/56.73
  6. Step 6: Final answer
    x = 79.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.