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Finding the Fourth Proportional to 65.55, 97.77 and 56.46

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Solution

The fourth proportional to 65.55, 97.77 and 56.46 is: 84.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.55 : 97.77 = 56.46 : x
  2. Step 2: Convert to fraction form
    65.55/97.77 = 56.46/x
  3. Step 3: Cross multiply
    65.55x = 97.77 × 56.46
  4. Step 4: Simplify right side
    65.55x = 5,520.09
  5. Step 5: Solve for x
    x = 5,520.09/65.55
  6. Step 6: Final answer
    x = 84.21

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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.