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Finding the Fourth Proportional to 1,089.75, 1,504.22 and 749.10

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Solution

The fourth proportional to 1,089.75, 1,504.22 and 749.10 is: 1,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.75 : 1,504.22 = 749.10 : x
  2. Step 2: Convert to fraction form
    1,089.75/1,504.22 = 749.10/x
  3. Step 3: Cross multiply
    1,089.75x = 1,504.22 × 749.10
  4. Step 4: Simplify right side
    1,089.75x = 1,126,811.20
  5. Step 5: Solve for x
    x = 1,126,811.20/1,089.75
  6. Step 6: Final answer
    x = 1,034.01

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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.