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Finding the Fourth Proportional to 591.98, 888.84 and 470.75

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Solution

The fourth proportional to 591.98, 888.84 and 470.75 is: 706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 888.84 = 470.75 : x
  2. Step 2: Convert to fraction form
    591.98/888.84 = 470.75/x
  3. Step 3: Cross multiply
    591.98x = 888.84 × 470.75
  4. Step 4: Simplify right side
    591.98x = 418,416.99
  5. Step 5: Solve for x
    x = 418,416.99/591.98
  6. Step 6: Final answer
    x = 706.82

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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.