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Finding the Fourth Proportional to 749.25, 1,124.15 and 364.77

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Solution

The fourth proportional to 749.25, 1,124.15 and 364.77 is: 547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,124.15 = 364.77 : x
  2. Step 2: Convert to fraction form
    749.25/1,124.15 = 364.77/x
  3. Step 3: Cross multiply
    749.25x = 1,124.15 × 364.77
  4. Step 4: Simplify right side
    749.25x = 410,054.37
  5. Step 5: Solve for x
    x = 410,054.37/749.25
  6. Step 6: Final answer
    x = 547.29

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1.5x scale

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.