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Finding the Fourth Proportional to 473.30, 708.32 and 399.86

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Solution

The fourth proportional to 473.30, 708.32 and 399.86 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 708.32 = 399.86 : x
  2. Step 2: Convert to fraction form
    473.30/708.32 = 399.86/x
  3. Step 3: Cross multiply
    473.30x = 708.32 × 399.86
  4. Step 4: Simplify right side
    473.30x = 283,228.84
  5. Step 5: Solve for x
    x = 283,228.84/473.30
  6. Step 6: Final answer
    x = 598.41

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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.