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Finding the Fourth Proportional to 1,131.20, 1,560.82 and 665.20

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Solution

The fourth proportional to 1,131.20, 1,560.82 and 665.20 is: 917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.20 : 1,560.82 = 665.20 : x
  2. Step 2: Convert to fraction form
    1,131.20/1,560.82 = 665.20/x
  3. Step 3: Cross multiply
    1,131.20x = 1,560.82 × 665.20
  4. Step 4: Simplify right side
    1,131.20x = 1,038,257.46
  5. Step 5: Solve for x
    x = 1,038,257.46/1,131.20
  6. Step 6: Final answer
    x = 917.84

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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.