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Finding the Fourth Proportional to 1,302.25, 1,954.20 and 532.75

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Solution

The fourth proportional to 1,302.25, 1,954.20 and 532.75 is: 799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.25 : 1,954.20 = 532.75 : x
  2. Step 2: Convert to fraction form
    1,302.25/1,954.20 = 532.75/x
  3. Step 3: Cross multiply
    1,302.25x = 1,954.20 × 532.75
  4. Step 4: Simplify right side
    1,302.25x = 1,041,100.05
  5. Step 5: Solve for x
    x = 1,041,100.05/1,302.25
  6. Step 6: Final answer
    x = 799.46

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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.