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Finding the Fourth Proportional to 58.75, 87.73 and 56.66

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Solution

The fourth proportional to 58.75, 87.73 and 56.66 is: 84.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.75 : 87.73 = 56.66 : x
  2. Step 2: Convert to fraction form
    58.75/87.73 = 56.66/x
  3. Step 3: Cross multiply
    58.75x = 87.73 × 56.66
  4. Step 4: Simplify right side
    58.75x = 4,970.20
  5. Step 5: Solve for x
    x = 4,970.20/58.75
  6. Step 6: Final answer
    x = 84.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.