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Finding the Fourth Proportional to 1,605, 2,407.50 and 450.75

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Solution

The fourth proportional to 1,605, 2,407.50 and 450.75 is: 676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605 : 2,407.50 = 450.75 : x
  2. Step 2: Convert to fraction form
    1,605/2,407.50 = 450.75/x
  3. Step 3: Cross multiply
    1,605x = 2,407.50 × 450.75
  4. Step 4: Simplify right side
    1,605x = 1,085,180.63
  5. Step 5: Solve for x
    x = 1,085,180.63/1,605
  6. Step 6: Final answer
    x = 676.13

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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.