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Finding the Fourth Proportional to 1,111.85, 1,534.89 and 739.45

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Solution

The fourth proportional to 1,111.85, 1,534.89 and 739.45 is: 1,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.85 : 1,534.89 = 739.45 : x
  2. Step 2: Convert to fraction form
    1,111.85/1,534.89 = 739.45/x
  3. Step 3: Cross multiply
    1,111.85x = 1,534.89 × 739.45
  4. Step 4: Simplify right side
    1,111.85x = 1,134,974.41
  5. Step 5: Solve for x
    x = 1,134,974.41/1,111.85
  6. Step 6: Final answer
    x = 1,020.80

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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.