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Finding the Fourth Proportional to 56.42, 84.59 and 47.31

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Solution

The fourth proportional to 56.42, 84.59 and 47.31 is: 70.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 84.59 = 47.31 : x
  2. Step 2: Convert to fraction form
    56.42/84.59 = 47.31/x
  3. Step 3: Cross multiply
    56.42x = 84.59 × 47.31
  4. Step 4: Simplify right side
    56.42x = 4,002.08
  5. Step 5: Solve for x
    x = 4,002.08/56.42
  6. Step 6: Final answer
    x = 70.93

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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.