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Finding the Fourth Proportional to 433.60, 649.80 and 286.93

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Solution

The fourth proportional to 433.60, 649.80 and 286.93 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 649.80 = 286.93 : x
  2. Step 2: Convert to fraction form
    433.60/649.80 = 286.93/x
  3. Step 3: Cross multiply
    433.60x = 649.80 × 286.93
  4. Step 4: Simplify right side
    433.60x = 186,446.21
  5. Step 5: Solve for x
    x = 186,446.21/433.60
  6. Step 6: Final answer
    x = 429.99

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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.