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Finding the Fourth Proportional to 761.84, 1,141.41 and 517.49

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Solution

The fourth proportional to 761.84, 1,141.41 and 517.49 is: 775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.84 : 1,141.41 = 517.49 : x
  2. Step 2: Convert to fraction form
    761.84/1,141.41 = 517.49/x
  3. Step 3: Cross multiply
    761.84x = 1,141.41 × 517.49
  4. Step 4: Simplify right side
    761.84x = 590,662.55
  5. Step 5: Solve for x
    x = 590,662.55/761.84
  6. Step 6: Final answer
    x = 775.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.