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Finding the Fourth Proportional to 471.85, 707.30 and 317.42

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Solution

The fourth proportional to 471.85, 707.30 and 317.42 is: 475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.85 : 707.30 = 317.42 : x
  2. Step 2: Convert to fraction form
    471.85/707.30 = 317.42/x
  3. Step 3: Cross multiply
    471.85x = 707.30 × 317.42
  4. Step 4: Simplify right side
    471.85x = 224,506.04
  5. Step 5: Solve for x
    x = 224,506.04/471.85
  6. Step 6: Final answer
    x = 475.80

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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.