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Finding the Fourth Proportional to 868.91, 1,302.65 and 406.45

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Solution

The fourth proportional to 868.91, 1,302.65 and 406.45 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.91 : 1,302.65 = 406.45 : x
  2. Step 2: Convert to fraction form
    868.91/1,302.65 = 406.45/x
  3. Step 3: Cross multiply
    868.91x = 1,302.65 × 406.45
  4. Step 4: Simplify right side
    868.91x = 529,453.55
  5. Step 5: Solve for x
    x = 529,453.55/868.91
  6. Step 6: Final answer
    x = 609.33

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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.