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Finding the Fourth Proportional to 829.84, 1,145.52 and 535.21

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Solution

The fourth proportional to 829.84, 1,145.52 and 535.21 is: 738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.84 : 1,145.52 = 535.21 : x
  2. Step 2: Convert to fraction form
    829.84/1,145.52 = 535.21/x
  3. Step 3: Cross multiply
    829.84x = 1,145.52 × 535.21
  4. Step 4: Simplify right side
    829.84x = 613,093.76
  5. Step 5: Solve for x
    x = 613,093.76/829.84
  6. Step 6: Final answer
    x = 738.81

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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.