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Finding the Fourth Proportional to 715.16, 1,074.36 and 686

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Solution

The fourth proportional to 715.16, 1,074.36 and 686 is: 1,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.16 : 1,074.36 = 686 : x
  2. Step 2: Convert to fraction form
    715.16/1,074.36 = 686/x
  3. Step 3: Cross multiply
    715.16x = 1,074.36 × 686
  4. Step 4: Simplify right side
    715.16x = 737,010.96
  5. Step 5: Solve for x
    x = 737,010.96/715.16
  6. Step 6: Final answer
    x = 1,030.55

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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.