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Finding the Fourth Proportional to 712.72, 1,064.68 and 516.03

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Solution

The fourth proportional to 712.72, 1,064.68 and 516.03 is: 770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 1,064.68 = 516.03 : x
  2. Step 2: Convert to fraction form
    712.72/1,064.68 = 516.03/x
  3. Step 3: Cross multiply
    712.72x = 1,064.68 × 516.03
  4. Step 4: Simplify right side
    712.72x = 549,406.82
  5. Step 5: Solve for x
    x = 549,406.82/712.72
  6. Step 6: Final answer
    x = 770.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.