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Finding the Fourth Proportional to 968.12, 1,454.73 and 535.58

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Solution

The fourth proportional to 968.12, 1,454.73 and 535.58 is: 804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.12 : 1,454.73 = 535.58 : x
  2. Step 2: Convert to fraction form
    968.12/1,454.73 = 535.58/x
  3. Step 3: Cross multiply
    968.12x = 1,454.73 × 535.58
  4. Step 4: Simplify right side
    968.12x = 779,124.29
  5. Step 5: Solve for x
    x = 779,124.29/968.12
  6. Step 6: Final answer
    x = 804.78

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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.