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Finding the Fourth Proportional to 473.25, 708.45 and 317.93

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Solution

The fourth proportional to 473.25, 708.45 and 317.93 is: 475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 708.45 = 317.93 : x
  2. Step 2: Convert to fraction form
    473.25/708.45 = 317.93/x
  3. Step 3: Cross multiply
    473.25x = 708.45 × 317.93
  4. Step 4: Simplify right side
    473.25x = 225,237.51
  5. Step 5: Solve for x
    x = 225,237.51/473.25
  6. Step 6: Final answer
    x = 475.94

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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.