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Finding the Fourth Proportional to 844.84, 1,166.74 and 513.49

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Solution

The fourth proportional to 844.84, 1,166.74 and 513.49 is: 709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.84 : 1,166.74 = 513.49 : x
  2. Step 2: Convert to fraction form
    844.84/1,166.74 = 513.49/x
  3. Step 3: Cross multiply
    844.84x = 1,166.74 × 513.49
  4. Step 4: Simplify right side
    844.84x = 599,109.48
  5. Step 5: Solve for x
    x = 599,109.48/844.84
  6. Step 6: Final answer
    x = 709.14

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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.