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Finding the Fourth Proportional to 61.03, 83.63 and 58.78

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Solution

The fourth proportional to 61.03, 83.63 and 58.78 is: 80.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.03 : 83.63 = 58.78 : x
  2. Step 2: Convert to fraction form
    61.03/83.63 = 58.78/x
  3. Step 3: Cross multiply
    61.03x = 83.63 × 58.78
  4. Step 4: Simplify right side
    61.03x = 4,915.77
  5. Step 5: Solve for x
    x = 4,915.77/61.03
  6. Step 6: Final answer
    x = 80.55

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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.