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Finding the Fourth Proportional to 470.68, 701 and 442.76

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Solution

The fourth proportional to 470.68, 701 and 442.76 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 701 = 442.76 : x
  2. Step 2: Convert to fraction form
    470.68/701 = 442.76/x
  3. Step 3: Cross multiply
    470.68x = 701 × 442.76
  4. Step 4: Simplify right side
    470.68x = 310,374.76
  5. Step 5: Solve for x
    x = 310,374.76/470.68
  6. Step 6: Final answer
    x = 659.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.