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Finding the Fourth Proportional to 763.19, 1,052.89 and 514.08

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Solution

The fourth proportional to 763.19, 1,052.89 and 514.08 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.19 : 1,052.89 = 514.08 : x
  2. Step 2: Convert to fraction form
    763.19/1,052.89 = 514.08/x
  3. Step 3: Cross multiply
    763.19x = 1,052.89 × 514.08
  4. Step 4: Simplify right side
    763.19x = 541,268.41
  5. Step 5: Solve for x
    x = 541,268.41/763.19
  6. Step 6: Final answer
    x = 709.22

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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.