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Finding the Fourth Proportional to 753.79, 1,131.06 and 364.12

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Solution

The fourth proportional to 753.79, 1,131.06 and 364.12 is: 546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.79 : 1,131.06 = 364.12 : x
  2. Step 2: Convert to fraction form
    753.79/1,131.06 = 364.12/x
  3. Step 3: Cross multiply
    753.79x = 1,131.06 × 364.12
  4. Step 4: Simplify right side
    753.79x = 411,840.18
  5. Step 5: Solve for x
    x = 411,840.18/753.79
  6. Step 6: Final answer
    x = 546.36

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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.