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Finding the Fourth Proportional to 1,601.50, 2,402.22 and 506.77

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Solution

The fourth proportional to 1,601.50, 2,402.22 and 506.77 is: 760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.50 : 2,402.22 = 506.77 : x
  2. Step 2: Convert to fraction form
    1,601.50/2,402.22 = 506.77/x
  3. Step 3: Cross multiply
    1,601.50x = 2,402.22 × 506.77
  4. Step 4: Simplify right side
    1,601.50x = 1,217,373.03
  5. Step 5: Solve for x
    x = 1,217,373.03/1,601.50
  6. Step 6: Final answer
    x = 760.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.