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Finding the Fourth Proportional to 428.99, 591.72 and 297.91

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Solution

The fourth proportional to 428.99, 591.72 and 297.91 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 591.72 = 297.91 : x
  2. Step 2: Convert to fraction form
    428.99/591.72 = 297.91/x
  3. Step 3: Cross multiply
    428.99x = 591.72 × 297.91
  4. Step 4: Simplify right side
    428.99x = 176,276.35
  5. Step 5: Solve for x
    x = 176,276.35/428.99
  6. Step 6: Final answer
    x = 410.91

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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.