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Finding the Fourth Proportional to 473.02, 708.36 and 459.34

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Solution

The fourth proportional to 473.02, 708.36 and 459.34 is: 687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.02 : 708.36 = 459.34 : x
  2. Step 2: Convert to fraction form
    473.02/708.36 = 459.34/x
  3. Step 3: Cross multiply
    473.02x = 708.36 × 459.34
  4. Step 4: Simplify right side
    473.02x = 325,378.08
  5. Step 5: Solve for x
    x = 325,378.08/473.02
  6. Step 6: Final answer
    x = 687.87

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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.