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Finding the Fourth Proportional to 967.84, 1,335.64 and 574.90

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Solution

The fourth proportional to 967.84, 1,335.64 and 574.90 is: 793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,335.64 = 574.90 : x
  2. Step 2: Convert to fraction form
    967.84/1,335.64 = 574.90/x
  3. Step 3: Cross multiply
    967.84x = 1,335.64 × 574.90
  4. Step 4: Simplify right side
    967.84x = 767,859.44
  5. Step 5: Solve for x
    x = 767,859.44/967.84
  6. Step 6: Final answer
    x = 793.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.