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Finding the Fourth Proportional to 470.74, 705.67 and 296.88

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Solution

The fourth proportional to 470.74, 705.67 and 296.88 is: 445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.74 : 705.67 = 296.88 : x
  2. Step 2: Convert to fraction form
    470.74/705.67 = 296.88/x
  3. Step 3: Cross multiply
    470.74x = 705.67 × 296.88
  4. Step 4: Simplify right side
    470.74x = 209,499.31
  5. Step 5: Solve for x
    x = 209,499.31/470.74
  6. Step 6: Final answer
    x = 445.04

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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.