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Finding the Fourth Proportional to 715.56, 1,072.43 and 407.56

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Solution

The fourth proportional to 715.56, 1,072.43 and 407.56 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.56 : 1,072.43 = 407.56 : x
  2. Step 2: Convert to fraction form
    715.56/1,072.43 = 407.56/x
  3. Step 3: Cross multiply
    715.56x = 1,072.43 × 407.56
  4. Step 4: Simplify right side
    715.56x = 437,079.57
  5. Step 5: Solve for x
    x = 437,079.57/715.56
  6. Step 6: Final answer
    x = 610.82

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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.