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Finding the Fourth Proportional to 601.88, 829.68 and 470.66

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Solution

The fourth proportional to 601.88, 829.68 and 470.66 is: 648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.88 : 829.68 = 470.66 : x
  2. Step 2: Convert to fraction form
    601.88/829.68 = 470.66/x
  3. Step 3: Cross multiply
    601.88x = 829.68 × 470.66
  4. Step 4: Simplify right side
    601.88x = 390,496.29
  5. Step 5: Solve for x
    x = 390,496.29/601.88
  6. Step 6: Final answer
    x = 648.80

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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.