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Finding the Fourth Proportional to 1,302.45, 1,952.05 and 608.21

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Solution

The fourth proportional to 1,302.45, 1,952.05 and 608.21 is: 911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.45 : 1,952.05 = 608.21 : x
  2. Step 2: Convert to fraction form
    1,302.45/1,952.05 = 608.21/x
  3. Step 3: Cross multiply
    1,302.45x = 1,952.05 × 608.21
  4. Step 4: Simplify right side
    1,302.45x = 1,187,256.33
  5. Step 5: Solve for x
    x = 1,187,256.33/1,302.45
  6. Step 6: Final answer
    x = 911.56

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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.