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Finding the Fourth Proportional to 433.04, 652.60 and 405.71

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Solution

The fourth proportional to 433.04, 652.60 and 405.71 is: 611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.04 : 652.60 = 405.71 : x
  2. Step 2: Convert to fraction form
    433.04/652.60 = 405.71/x
  3. Step 3: Cross multiply
    433.04x = 652.60 × 405.71
  4. Step 4: Simplify right side
    433.04x = 264,763.08
  5. Step 5: Solve for x
    x = 264,763.08/433.04
  6. Step 6: Final answer
    x = 611.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.