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Finding the Fourth Proportional to 1,604.64, 2,406.98 and 509.77

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Solution

The fourth proportional to 1,604.64, 2,406.98 and 509.77 is: 764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.64 : 2,406.98 = 509.77 : x
  2. Step 2: Convert to fraction form
    1,604.64/2,406.98 = 509.77/x
  3. Step 3: Cross multiply
    1,604.64x = 2,406.98 × 509.77
  4. Step 4: Simplify right side
    1,604.64x = 1,227,006.19
  5. Step 5: Solve for x
    x = 1,227,006.19/1,604.64
  6. Step 6: Final answer
    x = 764.66

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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.