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Finding the Fourth Proportional to 1,302.93, 1,954.44 and 425.57

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Solution

The fourth proportional to 1,302.93, 1,954.44 and 425.57 is: 638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.93 : 1,954.44 = 425.57 : x
  2. Step 2: Convert to fraction form
    1,302.93/1,954.44 = 425.57/x
  3. Step 3: Cross multiply
    1,302.93x = 1,954.44 × 425.57
  4. Step 4: Simplify right side
    1,302.93x = 831,741.26
  5. Step 5: Solve for x
    x = 831,741.26/1,302.93
  6. Step 6: Final answer
    x = 638.36

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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.