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Finding the Fourth Proportional to 58.89, 87.57 and 56.46

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Solution

The fourth proportional to 58.89, 87.57 and 56.46 is: 83.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.89 : 87.57 = 56.46 : x
  2. Step 2: Convert to fraction form
    58.89/87.57 = 56.46/x
  3. Step 3: Cross multiply
    58.89x = 87.57 × 56.46
  4. Step 4: Simplify right side
    58.89x = 4,944.28
  5. Step 5: Solve for x
    x = 4,944.28/58.89
  6. Step 6: Final answer
    x = 83.95

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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.