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Finding the Fourth Proportional to 1,052.39, 1,450.76 and 736.69

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Solution

The fourth proportional to 1,052.39, 1,450.76 and 736.69 is: 1,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.39 : 1,450.76 = 736.69 : x
  2. Step 2: Convert to fraction form
    1,052.39/1,450.76 = 736.69/x
  3. Step 3: Cross multiply
    1,052.39x = 1,450.76 × 736.69
  4. Step 4: Simplify right side
    1,052.39x = 1,068,753.07
  5. Step 5: Solve for x
    x = 1,068,753.07/1,052.39
  6. Step 6: Final answer
    x = 1,015.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.