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Finding the Fourth Proportional to 56.61, 84.32 and 56.01

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Solution

The fourth proportional to 56.61, 84.32 and 56.01 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.61 : 84.32 = 56.01 : x
  2. Step 2: Convert to fraction form
    56.61/84.32 = 56.01/x
  3. Step 3: Cross multiply
    56.61x = 84.32 × 56.01
  4. Step 4: Simplify right side
    56.61x = 4,722.48
  5. Step 5: Solve for x
    x = 4,722.48/56.61
  6. Step 6: Final answer
    x = 83.42

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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.