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Finding the Fourth Proportional to 470.08, 708.70 and 442.24

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Solution

The fourth proportional to 470.08, 708.70 and 442.24 is: 666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 708.70 = 442.24 : x
  2. Step 2: Convert to fraction form
    470.08/708.70 = 442.24/x
  3. Step 3: Cross multiply
    470.08x = 708.70 × 442.24
  4. Step 4: Simplify right side
    470.08x = 313,415.49
  5. Step 5: Solve for x
    x = 313,415.49/470.08
  6. Step 6: Final answer
    x = 666.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.