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Finding the Fourth Proportional to 55.69, 76.78 and 45.29

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Solution

The fourth proportional to 55.69, 76.78 and 45.29 is: 62.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.69 : 76.78 = 45.29 : x
  2. Step 2: Convert to fraction form
    55.69/76.78 = 45.29/x
  3. Step 3: Cross multiply
    55.69x = 76.78 × 45.29
  4. Step 4: Simplify right side
    55.69x = 3,477.37
  5. Step 5: Solve for x
    x = 3,477.37/55.69
  6. Step 6: Final answer
    x = 62.44

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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.