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Finding the Fourth Proportional to 535.82, 802.71 and 405.14

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Solution

The fourth proportional to 535.82, 802.71 and 405.14 is: 606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 802.71 = 405.14 : x
  2. Step 2: Convert to fraction form
    535.82/802.71 = 405.14/x
  3. Step 3: Cross multiply
    535.82x = 802.71 × 405.14
  4. Step 4: Simplify right side
    535.82x = 325,205.92
  5. Step 5: Solve for x
    x = 325,205.92/535.82
  6. Step 6: Final answer
    x = 606.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.