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Finding the Fourth Proportional to 768.16, 1,059.76 and 506.32

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Solution

The fourth proportional to 768.16, 1,059.76 and 506.32 is: 698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.16 : 1,059.76 = 506.32 : x
  2. Step 2: Convert to fraction form
    768.16/1,059.76 = 506.32/x
  3. Step 3: Cross multiply
    768.16x = 1,059.76 × 506.32
  4. Step 4: Simplify right side
    768.16x = 536,577.68
  5. Step 5: Solve for x
    x = 536,577.68/768.16
  6. Step 6: Final answer
    x = 698.52

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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.