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Finding the Fourth Proportional to 948.82, 1,420.71 and 537.34

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Solution

The fourth proportional to 948.82, 1,420.71 and 537.34 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.82 : 1,420.71 = 537.34 : x
  2. Step 2: Convert to fraction form
    948.82/1,420.71 = 537.34/x
  3. Step 3: Cross multiply
    948.82x = 1,420.71 × 537.34
  4. Step 4: Simplify right side
    948.82x = 763,404.31
  5. Step 5: Solve for x
    x = 763,404.31/948.82
  6. Step 6: Final answer
    x = 804.58

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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.