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Finding the Fourth Proportional to 473.43, 708.60 and 407.82

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Solution

The fourth proportional to 473.43, 708.60 and 407.82 is: 610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.43 : 708.60 = 407.82 : x
  2. Step 2: Convert to fraction form
    473.43/708.60 = 407.82/x
  3. Step 3: Cross multiply
    473.43x = 708.60 × 407.82
  4. Step 4: Simplify right side
    473.43x = 288,980.12
  5. Step 5: Solve for x
    x = 288,980.12/473.43
  6. Step 6: Final answer
    x = 610.40

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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.