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Finding the Fourth Proportional to 711.74, 1,063.23 and 504.68

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Solution

The fourth proportional to 711.74, 1,063.23 and 504.68 is: 753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.74 : 1,063.23 = 504.68 : x
  2. Step 2: Convert to fraction form
    711.74/1,063.23 = 504.68/x
  3. Step 3: Cross multiply
    711.74x = 1,063.23 × 504.68
  4. Step 4: Simplify right side
    711.74x = 536,589.69
  5. Step 5: Solve for x
    x = 536,589.69/711.74
  6. Step 6: Final answer
    x = 753.92

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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.