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Finding the Fourth Proportional to 54.80, 75.57 and 47.06

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Solution

The fourth proportional to 54.80, 75.57 and 47.06 is: 64.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.80 : 75.57 = 47.06 : x
  2. Step 2: Convert to fraction form
    54.80/75.57 = 47.06/x
  3. Step 3: Cross multiply
    54.80x = 75.57 × 47.06
  4. Step 4: Simplify right side
    54.80x = 3,555.71
  5. Step 5: Solve for x
    x = 3,555.71/54.80
  6. Step 6: Final answer
    x = 64.89

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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.