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Finding the Fourth Proportional to 715.80, 1,072.64 and 407.18

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Solution

The fourth proportional to 715.80, 1,072.64 and 407.18 is: 610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.80 : 1,072.64 = 407.18 : x
  2. Step 2: Convert to fraction form
    715.80/1,072.64 = 407.18/x
  3. Step 3: Cross multiply
    715.80x = 1,072.64 × 407.18
  4. Step 4: Simplify right side
    715.80x = 436,757.56
  5. Step 5: Solve for x
    x = 436,757.56/715.80
  6. Step 6: Final answer
    x = 610.17

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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.