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Finding the Fourth Proportional to 428.65, 590.08 and 317.91

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Solution

The fourth proportional to 428.65, 590.08 and 317.91 is: 437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.65 : 590.08 = 317.91 : x
  2. Step 2: Convert to fraction form
    428.65/590.08 = 317.91/x
  3. Step 3: Cross multiply
    428.65x = 590.08 × 317.91
  4. Step 4: Simplify right side
    428.65x = 187,592.33
  5. Step 5: Solve for x
    x = 187,592.33/428.65
  6. Step 6: Final answer
    x = 437.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.