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Finding the Fourth Proportional to 52.58, 78.56 and 42.83

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Solution

The fourth proportional to 52.58, 78.56 and 42.83 is: 63.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 78.56 = 42.83 : x
  2. Step 2: Convert to fraction form
    52.58/78.56 = 42.83/x
  3. Step 3: Cross multiply
    52.58x = 78.56 × 42.83
  4. Step 4: Simplify right side
    52.58x = 3,364.33
  5. Step 5: Solve for x
    x = 3,364.33/52.58
  6. Step 6: Final answer
    x = 63.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.