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Finding the Fourth Proportional to 744.46, 1,026.75 and 613.24

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Solution

The fourth proportional to 744.46, 1,026.75 and 613.24 is: 845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.46 : 1,026.75 = 613.24 : x
  2. Step 2: Convert to fraction form
    744.46/1,026.75 = 613.24/x
  3. Step 3: Cross multiply
    744.46x = 1,026.75 × 613.24
  4. Step 4: Simplify right side
    744.46x = 629,644.17
  5. Step 5: Solve for x
    x = 629,644.17/744.46
  6. Step 6: Final answer
    x = 845.77

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Double scale
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1.5x scale

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.