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Finding the Fourth Proportional to 768.09, 1,052.01 and 723.20

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Solution

The fourth proportional to 768.09, 1,052.01 and 723.20 is: 990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.09 : 1,052.01 = 723.20 : x
  2. Step 2: Convert to fraction form
    768.09/1,052.01 = 723.20/x
  3. Step 3: Cross multiply
    768.09x = 1,052.01 × 723.20
  4. Step 4: Simplify right side
    768.09x = 760,808.37
  5. Step 5: Solve for x
    x = 760,808.37/768.09
  6. Step 6: Final answer
    x = 990.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.