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Finding the Fourth Proportional to 627.04, 864.80 and 470.05

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Solution

The fourth proportional to 627.04, 864.80 and 470.05 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.04 : 864.80 = 470.05 : x
  2. Step 2: Convert to fraction form
    627.04/864.80 = 470.05/x
  3. Step 3: Cross multiply
    627.04x = 864.80 × 470.05
  4. Step 4: Simplify right side
    627.04x = 406,499.24
  5. Step 5: Solve for x
    x = 406,499.24/627.04
  6. Step 6: Final answer
    x = 648.28

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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.