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Finding the Fourth Proportional to 470.23, 647.31 and 407.20

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Solution

The fourth proportional to 470.23, 647.31 and 407.20 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.23 : 647.31 = 407.20 : x
  2. Step 2: Convert to fraction form
    470.23/647.31 = 407.20/x
  3. Step 3: Cross multiply
    470.23x = 647.31 × 407.20
  4. Step 4: Simplify right side
    470.23x = 263,584.63
  5. Step 5: Solve for x
    x = 263,584.63/470.23
  6. Step 6: Final answer
    x = 560.54

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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.