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Finding the Fourth Proportional to 470.14, 703.96 and 377.80

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Solution

The fourth proportional to 470.14, 703.96 and 377.80 is: 565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 703.96 = 377.80 : x
  2. Step 2: Convert to fraction form
    470.14/703.96 = 377.80/x
  3. Step 3: Cross multiply
    470.14x = 703.96 × 377.80
  4. Step 4: Simplify right side
    470.14x = 265,953.38
  5. Step 5: Solve for x
    x = 265,953.38/470.14
  6. Step 6: Final answer
    x = 565.69

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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.