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Finding the Fourth Proportional to 56.42, 84.46 and 46.77

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Solution

The fourth proportional to 56.42, 84.46 and 46.77 is: 70.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 84.46 = 46.77 : x
  2. Step 2: Convert to fraction form
    56.42/84.46 = 46.77/x
  3. Step 3: Cross multiply
    56.42x = 84.46 × 46.77
  4. Step 4: Simplify right side
    56.42x = 3,949.54
  5. Step 5: Solve for x
    x = 3,949.54/56.42
  6. Step 6: Final answer
    x = 70.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.