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Finding the Fourth Proportional to 56.57, 77.66 and 51.08

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Solution

The fourth proportional to 56.57, 77.66 and 51.08 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.57 : 77.66 = 51.08 : x
  2. Step 2: Convert to fraction form
    56.57/77.66 = 51.08/x
  3. Step 3: Cross multiply
    56.57x = 77.66 × 51.08
  4. Step 4: Simplify right side
    56.57x = 3,967.00
  5. Step 5: Solve for x
    x = 3,967.00/56.57
  6. Step 6: Final answer
    x = 70.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.