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Finding the Fourth Proportional to 799.58, 1,200.10 and 434.64

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Solution

The fourth proportional to 799.58, 1,200.10 and 434.64 is: 652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.58 : 1,200.10 = 434.64 : x
  2. Step 2: Convert to fraction form
    799.58/1,200.10 = 434.64/x
  3. Step 3: Cross multiply
    799.58x = 1,200.10 × 434.64
  4. Step 4: Simplify right side
    799.58x = 521,611.46
  5. Step 5: Solve for x
    x = 521,611.46/799.58
  6. Step 6: Final answer
    x = 652.36

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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.