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Finding the Fourth Proportional to 715.11, 1,072.65 and 471.79

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Solution

The fourth proportional to 715.11, 1,072.65 and 471.79 is: 707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.11 : 1,072.65 = 471.79 : x
  2. Step 2: Convert to fraction form
    715.11/1,072.65 = 471.79/x
  3. Step 3: Cross multiply
    715.11x = 1,072.65 × 471.79
  4. Step 4: Simplify right side
    715.11x = 506,065.54
  5. Step 5: Solve for x
    x = 506,065.54/715.11
  6. Step 6: Final answer
    x = 707.68

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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.