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Finding the Fourth Proportional to 56.57, 77.63 and 51.93

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Solution

The fourth proportional to 56.57, 77.63 and 51.93 is: 71.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.57 : 77.63 = 51.93 : x
  2. Step 2: Convert to fraction form
    56.57/77.63 = 51.93/x
  3. Step 3: Cross multiply
    56.57x = 77.63 × 51.93
  4. Step 4: Simplify right side
    56.57x = 4,031.07
  5. Step 5: Solve for x
    x = 4,031.07/56.57
  6. Step 6: Final answer
    x = 71.26

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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.