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Finding the Fourth Proportional to 768.10, 1,059.60 and 457.60

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Solution

The fourth proportional to 768.10, 1,059.60 and 457.60 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.10 : 1,059.60 = 457.60 : x
  2. Step 2: Convert to fraction form
    768.10/1,059.60 = 457.60/x
  3. Step 3: Cross multiply
    768.10x = 1,059.60 × 457.60
  4. Step 4: Simplify right side
    768.10x = 484,872.96
  5. Step 5: Solve for x
    x = 484,872.96/768.10
  6. Step 6: Final answer
    x = 631.26

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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.