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Finding the Fourth Proportional to 472.92, 703.79 and 455.64

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Solution

The fourth proportional to 472.92, 703.79 and 455.64 is: 678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.92 : 703.79 = 455.64 : x
  2. Step 2: Convert to fraction form
    472.92/703.79 = 455.64/x
  3. Step 3: Cross multiply
    472.92x = 703.79 × 455.64
  4. Step 4: Simplify right side
    472.92x = 320,672.60
  5. Step 5: Solve for x
    x = 320,672.60/472.92
  6. Step 6: Final answer
    x = 678.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.