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Finding the Fourth Proportional to 749.34, 1,124.10 and 364.50

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Solution

The fourth proportional to 749.34, 1,124.10 and 364.50 is: 546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,124.10 = 364.50 : x
  2. Step 2: Convert to fraction form
    749.34/1,124.10 = 364.50/x
  3. Step 3: Cross multiply
    749.34x = 1,124.10 × 364.50
  4. Step 4: Simplify right side
    749.34x = 409,734.45
  5. Step 5: Solve for x
    x = 409,734.45/749.34
  6. Step 6: Final answer
    x = 546.79

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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.