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Finding the Fourth Proportional to 470.04, 647.70 and 445.34

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Solution

The fourth proportional to 470.04, 647.70 and 445.34 is: 613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 647.70 = 445.34 : x
  2. Step 2: Convert to fraction form
    470.04/647.70 = 445.34/x
  3. Step 3: Cross multiply
    470.04x = 647.70 × 445.34
  4. Step 4: Simplify right side
    470.04x = 288,443.48
  5. Step 5: Solve for x
    x = 288,443.48/470.04
  6. Step 6: Final answer
    x = 613.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.