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Finding the Fourth Proportional to 642.45, 960.67 and 459.28

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Solution

The fourth proportional to 642.45, 960.67 and 459.28 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.45 : 960.67 = 459.28 : x
  2. Step 2: Convert to fraction form
    642.45/960.67 = 459.28/x
  3. Step 3: Cross multiply
    642.45x = 960.67 × 459.28
  4. Step 4: Simplify right side
    642.45x = 441,216.52
  5. Step 5: Solve for x
    x = 441,216.52/642.45
  6. Step 6: Final answer
    x = 686.77

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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.