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Finding the Fourth Proportional to 56.50, 77.79 and 51.04

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Solution

The fourth proportional to 56.50, 77.79 and 51.04 is: 70.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.50 : 77.79 = 51.04 : x
  2. Step 2: Convert to fraction form
    56.50/77.79 = 51.04/x
  3. Step 3: Cross multiply
    56.50x = 77.79 × 51.04
  4. Step 4: Simplify right side
    56.50x = 3,970.40
  5. Step 5: Solve for x
    x = 3,970.40/56.50
  6. Step 6: Final answer
    x = 70.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.