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Finding the Fourth Proportional to 1,063.42, 1,593.69 and 514.51

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Solution

The fourth proportional to 1,063.42, 1,593.69 and 514.51 is: 771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.42 : 1,593.69 = 514.51 : x
  2. Step 2: Convert to fraction form
    1,063.42/1,593.69 = 514.51/x
  3. Step 3: Cross multiply
    1,063.42x = 1,593.69 × 514.51
  4. Step 4: Simplify right side
    1,063.42x = 819,969.44
  5. Step 5: Solve for x
    x = 819,969.44/1,063.42
  6. Step 6: Final answer
    x = 771.07

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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.