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Finding the Fourth Proportional to 58.61, 81.43 and 58.05

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Solution

The fourth proportional to 58.61, 81.43 and 58.05 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.61 : 81.43 = 58.05 : x
  2. Step 2: Convert to fraction form
    58.61/81.43 = 58.05/x
  3. Step 3: Cross multiply
    58.61x = 81.43 × 58.05
  4. Step 4: Simplify right side
    58.61x = 4,726.87
  5. Step 5: Solve for x
    x = 4,726.87/58.61
  6. Step 6: Final answer
    x = 80.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.