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Finding the Fourth Proportional to 726.21, 1,002.15 and 415.71

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Solution

The fourth proportional to 726.21, 1,002.15 and 415.71 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.21 : 1,002.15 = 415.71 : x
  2. Step 2: Convert to fraction form
    726.21/1,002.15 = 415.71/x
  3. Step 3: Cross multiply
    726.21x = 1,002.15 × 415.71
  4. Step 4: Simplify right side
    726.21x = 416,603.78
  5. Step 5: Solve for x
    x = 416,603.78/726.21
  6. Step 6: Final answer
    x = 573.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.