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Finding the Fourth Proportional to 58.84, 80.48 and 57.90

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Solution

The fourth proportional to 58.84, 80.48 and 57.90 is: 79.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.84 : 80.48 = 57.90 : x
  2. Step 2: Convert to fraction form
    58.84/80.48 = 57.90/x
  3. Step 3: Cross multiply
    58.84x = 80.48 × 57.90
  4. Step 4: Simplify right side
    58.84x = 4,659.63
  5. Step 5: Solve for x
    x = 4,659.63/58.84
  6. Step 6: Final answer
    x = 79.19

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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.