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Finding the Fourth Proportional to 768.12, 1,059.93 and 436.59

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Solution

The fourth proportional to 768.12, 1,059.93 and 436.59 is: 602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.12 : 1,059.93 = 436.59 : x
  2. Step 2: Convert to fraction form
    768.12/1,059.93 = 436.59/x
  3. Step 3: Cross multiply
    768.12x = 1,059.93 × 436.59
  4. Step 4: Simplify right side
    768.12x = 462,754.84
  5. Step 5: Solve for x
    x = 462,754.84/768.12
  6. Step 6: Final answer
    x = 602.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.