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Finding the Fourth Proportional to 1,150.85, 1,588.92 and 709.40

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Solution

The fourth proportional to 1,150.85, 1,588.92 and 709.40 is: 979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.85 : 1,588.92 = 709.40 : x
  2. Step 2: Convert to fraction form
    1,150.85/1,588.92 = 709.40/x
  3. Step 3: Cross multiply
    1,150.85x = 1,588.92 × 709.40
  4. Step 4: Simplify right side
    1,150.85x = 1,127,179.85
  5. Step 5: Solve for x
    x = 1,127,179.85/1,150.85
  6. Step 6: Final answer
    x = 979.43

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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.