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Finding the Fourth Proportional to 1,605, 2,407.53 and 450.78

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Solution

The fourth proportional to 1,605, 2,407.53 and 450.78 is: 676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605 : 2,407.53 = 450.78 : x
  2. Step 2: Convert to fraction form
    1,605/2,407.53 = 450.78/x
  3. Step 3: Cross multiply
    1,605x = 2,407.53 × 450.78
  4. Step 4: Simplify right side
    1,605x = 1,085,266.37
  5. Step 5: Solve for x
    x = 1,085,266.37/1,605
  6. Step 6: Final answer
    x = 676.18

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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.