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Finding the Fourth Proportional to 1,302.93, 1,954.10 and 378.29

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Solution

The fourth proportional to 1,302.93, 1,954.10 and 378.29 is: 567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.93 : 1,954.10 = 378.29 : x
  2. Step 2: Convert to fraction form
    1,302.93/1,954.10 = 378.29/x
  3. Step 3: Cross multiply
    1,302.93x = 1,954.10 × 378.29
  4. Step 4: Simplify right side
    1,302.93x = 739,216.49
  5. Step 5: Solve for x
    x = 739,216.49/1,302.93
  6. Step 6: Final answer
    x = 567.35

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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.