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Finding the Fourth Proportional to 470.73, 643.86 and 463.17

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Solution

The fourth proportional to 470.73, 643.86 and 463.17 is: 633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 643.86 = 463.17 : x
  2. Step 2: Convert to fraction form
    470.73/643.86 = 463.17/x
  3. Step 3: Cross multiply
    470.73x = 643.86 × 463.17
  4. Step 4: Simplify right side
    470.73x = 298,216.64
  5. Step 5: Solve for x
    x = 298,216.64/470.73
  6. Step 6: Final answer
    x = 633.52

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Find fourth proportional to 235.37, 321.93 and 231.59
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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.