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Finding the Fourth Proportional to 507.77, 701.02 and 367.75

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Solution

The fourth proportional to 507.77, 701.02 and 367.75 is: 507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.77 : 701.02 = 367.75 : x
  2. Step 2: Convert to fraction form
    507.77/701.02 = 367.75/x
  3. Step 3: Cross multiply
    507.77x = 701.02 × 367.75
  4. Step 4: Simplify right side
    507.77x = 257,800.11
  5. Step 5: Solve for x
    x = 257,800.11/507.77
  6. Step 6: Final answer
    x = 507.71

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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.