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Finding the Fourth Proportional to 900.82, 1,352.58 and 536.32

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Solution

The fourth proportional to 900.82, 1,352.58 and 536.32 is: 805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.82 : 1,352.58 = 536.32 : x
  2. Step 2: Convert to fraction form
    900.82/1,352.58 = 536.32/x
  3. Step 3: Cross multiply
    900.82x = 1,352.58 × 536.32
  4. Step 4: Simplify right side
    900.82x = 725,415.71
  5. Step 5: Solve for x
    x = 725,415.71/900.82
  6. Step 6: Final answer
    x = 805.28

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Why These Related Problems?

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