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Finding the Fourth Proportional to 800.37, 1,200.24 and 434.79

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Solution

The fourth proportional to 800.37, 1,200.24 and 434.79 is: 652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.37 : 1,200.24 = 434.79 : x
  2. Step 2: Convert to fraction form
    800.37/1,200.24 = 434.79/x
  3. Step 3: Cross multiply
    800.37x = 1,200.24 × 434.79
  4. Step 4: Simplify right side
    800.37x = 521,852.35
  5. Step 5: Solve for x
    x = 521,852.35/800.37
  6. Step 6: Final answer
    x = 652.01

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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.