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Finding the Fourth Proportional to 1,604.33, 2,406.76 and 508.96

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Solution

The fourth proportional to 1,604.33, 2,406.76 and 508.96 is: 763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.33 : 2,406.76 = 508.96 : x
  2. Step 2: Convert to fraction form
    1,604.33/2,406.76 = 508.96/x
  3. Step 3: Cross multiply
    1,604.33x = 2,406.76 × 508.96
  4. Step 4: Simplify right side
    1,604.33x = 1,224,942.40
  5. Step 5: Solve for x
    x = 1,224,942.40/1,604.33
  6. Step 6: Final answer
    x = 763.52

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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.