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Finding the Fourth Proportional to 470.04, 707.82 and 409.89

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Solution

The fourth proportional to 470.04, 707.82 and 409.89 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 707.82 = 409.89 : x
  2. Step 2: Convert to fraction form
    470.04/707.82 = 409.89/x
  3. Step 3: Cross multiply
    470.04x = 707.82 × 409.89
  4. Step 4: Simplify right side
    470.04x = 290,131.76
  5. Step 5: Solve for x
    x = 290,131.76/470.04
  6. Step 6: Final answer
    x = 617.25

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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.